Computational Fluid Dynamics (CFD) - A Beginner's Guide

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🌎 Website: jousefmurad.com
In this first video, I will give you a crisp intro to Computational Fluid Dynamics (CFD)! If you want to jump right to the theoretical part, time stamps are in the description! :)
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#CFD
#ComputationalFluidDynamics
#Turbulence
Time Stamps
----------------------
0:00 - 0:25 : Intro
0:26 - 1:07 : Agenda
1:08 - 7:48 : History of CFD
7:49 - 9:25 : What is CFD?
9:26 - 10:04 : Why do we use CFD?
10:05 - 10:28 : How does CFD help in the Product Development Process?
10:29 - 11:37 : "Divide & Conquer" Approach
11:38- 12:11 : Terminology
12:12 - 13:31 : Steps in a CFD Analysis
13:32 - 14:14 : The Mesh
14:15 - 14:40 : Cell Types
14:41 - 16:02 : Grid Types
16:03 - 19:10 : The Navier-Stokes Equations
19:11 - 20:15 : Approaches to Solve Equations
20:16 - 20:56 : Solution of Linear Equation Systems
20:57 - 21:19 : Model Effort - Part 1
21:20 - 23:02 : Turbulence
23:03 - 24:20 : Reynolds Number
24:21 - 25:42 : Reynolds Averaging
25:43 - 26:32 : Model Effort Turbulence
26:33 - 27:20 : Transient vs. Steady-State
27:21 - 27:51 : Boundary Conditions
27:52 - 28:00 : Recommended Books
28:01 - 29:23 : Topic Ideas
29:24 - 29:33 : Patreon
29:34 - End : Outro

[@JousefM]

*Important note: At **17:34** there is velocity missing after the density (Rho) - thanks a lot to @Em Jay for noticing!* 🎓 My Science Courses - courses.jousefmurad.com/ ✍️ Latest blog posts: jousefmurad.com 📥 My Newsletter - jousef.substack.com/ Time Stamps ---------------------- 0:00 - 0:25 : Intro 0:26 - 1:07 : Agenda 1:08 - 7:48 : History of CFD 7:49 - 9:25 : What is CFD? 9:26 - 10:04 : Why do we use CFD? 10:05 - 10:28 : How does CFD help in the Product Development Process? 10:29 - 11:37 : "Divide & Conquer" Approach 11:38- 12:11 : Terminology 12:12 - 13:31 : Steps in a CFD Analysis 13:32 - 14:14 : The Mesh 14:15 - 14:40 : Cell Types 14:41 - 16:02 : Grid Types 16:03 - 19:10 : The Navier-Stokes Equations 19:11 - 20:15 : Approaches to Solve Equations 20:16 - 20:56 : Solution of Linear Equation Systems 20:57 - 21:19 : Model Effort - Part 1 21:20 - 23:02 : Turbulence 23:03 - 24:20 : Reynolds Number 24:21 - 25:42 : Reynolds Averaging 25:43 - 26:32 : Model Effort Turbulence 26:33 - 27:20 : Transient vs. Steady-State 27:21 - 27:51 : Boundary Conditions 27:52 - 28:00 : Recommended Books 28:01 - 29:23 : Topic Ideas 29:24 - 29:33 : Patreon 29:34 - End : Outro

[@accountname1651]

Dear Jousef, can you please estimate how much do you safe when you use simulation compared to a prototype for example in the Automotive industry? Many say the estimations are very good but you still need a prodotype. Can you have less volumes of prototypes then or do you safe a complete phase of hardware? How much is a computing hour or how much does such software cost? I read you need 278.000 hours in simulation for example.

[@michaelmcleary8566]

I'm just about to start CFD in my last year as an undergrad in mechanical engineering and this has been a very good introduction to the subject.

[@JousefM]

Thanks! 🙂

[@soloshaiksha5985]

bro can i get ur contact i want talk with u

[@JousefM]

@soloshaiksha5985 LinkedIn.

[@vinaynandurdikar2005]

Really nice video, It talked about the history of CFD. Current cloud based simulation platforms. CFD is solving partial difference equations. partial difference equations are having 2 or more independent variables. like about the divide and conquer thing about discretization. steps in the CFD. Different mesh approach and cell types. Grid types. NS equation which based upon Newton law of motion. Difference between FDM and FVM. Energy cascade in Turbulence. About Reynold number. Models of Turbulence.

[@HockEnergy]

Great Channel Jousef, keep it up the good work 👍

[@JousefM]

Thanks Digga! Grüße gehen raus 😄

[@mohamednasser2725]

Thanks that was great job 👍 Keep it up 💪 Waiting for the next I hope it'll be a weekly tutorial !

[@JousefM]

Thanks Mohamed! 🙂

[@thierrydaoud3458]

Beautiful video! I will definitely watch the rest of the videos! My first video watched for this channel was the one with Milan Curcic. I loved this episode, how knowledgeable yet humble he is about his field. I immediately bought his Fortran book (being a Graduate student on my first semester), thank you for the discount code btw! Looking forward for what's to come!

[@JousefM]

Thanks mate!

[@mouhamadmoustafa6538]

Keep up the hard work 💪 Great explanation!! I will be up with ur CFD FEM series

[@JousefM]

Thanks brother, I truly appreciate your support!

[@yuanlisong1266]

You are super! Making complex simple and clear! Thanks!

[@shikharsaraswat410]

Great introductory lecture..!!

[@JousefM]

Thanks a lot Shikhar, appreciate it!

[@bkraj26]

Your explanation was excellent. Hatsoff for sharing your knowledge in youtube. Continue your good work bro!!!

[@JousefM]

Thanks buddy :)

[@abdellamohamed5774]

very well explained and concise thanks alot

[@valmikiramroop9426]

Somehow I stayed for the entire video. Very stimulating and well researched. Thank you!

[@JousefM]

Appreciate it mate! :) feel free to share it with friends and colleagues who might be interested in it. More to come soon!!

[@akramlab6664]

Great work as always

[@Virtura3D]

Nice video. Enjoyed the history lesson in the beginning. I am enjoying educating people as well with respect to Next-Gen CFD.

[@aliarslan2086]

really helpful videos. Thanks for your effort.

[@AdrienLegendre]

Very nice video! A computational approach for partial differential equations is using radial basis functions rather than a volume mesh.The solution is represented as a linear combination of functions which are non-zero over a limited domain. The matrix equation then has large non-zero terms near the diagonal so the matrix is likely stable and amenable to algorithms for inversion. No need to determine a volume mesh over all of space other than at boundary. Is there a reason why this is not done for fluid dynamics? I am familiar with the mathematics but new to computational fluid dynamics. Another question, what about Monte Carlo method methods as a solution i.e. a fluid particles with drift and Brownian motion? Thanks.

[@abdullahraihanbhuiyan2346]

Keep the good work! Excellent content!

[@JousefM]

Thanks Abdullah my friend, appreciate your support 🙂 feel free to share on social media!

[@carlosmaldonado8600]

Cfd course of openfoam and derivation of navier stokes equations! And so on 😀😀👍👍

[@JousefM]

Haha just say "everything" :D :D Will plan for it ;-)

[@SappigePerzik]

@@JousefM I vote for OpenFOAM!

[@JousefM]

@@SappigePerzik Sorry for seeing your comment so late. Will come when I have 6,000 subs - FREE OpenFOAM Course on my channel :)

[@ShawhinTalebi]

Great session, thanks Jousef!

[@JousefM]

Thank you!

[@karanpai9]

Thank you Jousef!. This was an interesting video.

[@JousefM]

Cheers and thanks for your kind words 🙂

[@carlosmaldonado8600]

Thanks friend! I'll wait for more! Regards

[@JousefM]

Thanks buddy :)

[@dhanarajsavarynasan27]

You can add unified CFD method via FDV theory developed by Prof TJ Chung. It is one advanced topic in CFD as is most powerful tool. Good work

[@JousefM]

Thanks mate! Sounds very interesting - any special resources you recommend? I can google of course but maybe you can show me some resources that you personally like! Thanks in advance 🙂

[@Roselen1993]

Thanks! This information has been really helpful. Could you please make a video tutorial in OpenFOAM about DES? I'd appreciate it!

[@tompierre1422]

i love it :) thanks

[@user-hn5rd4do3o]

Recommended Books & Resources "An introduction to Fluid Dynamics" -by G.K.Batchelor "Physical Fluid Dynamics" - by D.J.Tritton "Fundamentals of Aerodynamics" -Book by John D.Anderson "Modern Compressible Flow:With Historical Perspective" -2nd Edition Book by John D.Anderson "Modern compressible Flow:With Historical Perspective" -by John D.Anderson "Elements of Gasdynamics" -by H.A.Liepmann and A.Roshko.Liepmann and Roshko "Boundary Layer Theory" -by Stephen B.Pope "Thermodynamics, Schaum's Outline Series" by M.M.abbott and H.A.van Ness

[@farzanehrasti]

Your teaching method is great. It really helps to see some historical background. Please do a CFD course in openFoam and how to properly manage a CFD project

[@JousefM]

Love that you commented on these two topics. I promised an OpenFOAM course some time ago, will work on that in the mid of the year and how to manage CFD projects will hopefully also be started soon :) Keeping you posted. Feel free to follow me on my socials to keep up-to-date!

[@farzanehrasti]

@@JousefM Thank you! Looking forward to those! Please keep it going. I really enjoyed the few videos I watched so far...

[@diegos2184]

Suer bien explicd men, gracias ,voy a ver la lista de libros

[@StructuralNature]

Awesome cfd introduction!

[@JousefM]

Thanks mate! 🙂

[@moonlightcockroach7361]

Awesome video. I'm a big fan of these, as well as the podcast. Just a comment... FEM is totally relevant in CFD, and I would even argue that it is now the standard. Many people tend to create a false dichotomy between CFD and FEM, which doesn't really make sense. FVM is actually a special case of the FEM, in particular it is an FEM with cell-constant test functions. This is also true for FDM, where test functions are Dirac deltas. Anyway, love the channel!

[@JousefM]

Great comment and thanks

[@vishalkumar040393]

Subscribed. Good content.

[@JousefM]

Thanks!

[@techlead3743]

Nice one!

[@JousefM]

Cheers!

[@ahmedkshehata]

Good work Murad 👍👍

[@JousefM]

Thanks! :) Feel free to join my new community here: community.sci-circle.com/

[@tahersphysicstutoring5454]

thanks alot love it

[@AJ-et3vf]

Great video. Thank you

[@JousefM]

Thanks 🙂

[@killua9369]

I like the history stuff u included! The lecture is excellent! I would say that the Imperial College London is the place where all the magic has started! Even OpenFOAM was developed there! Happy to belong to the Imperial and waiting for OpenFOAM lectures since it's my field of expertise

[@JousefM]

Thanks for your feedback and stay tuned! :)

[@MsRoseCatcher]

thanks for this video!

[@JousefM]

Thanks for watching! :)

[@pandiyanp5816]

Nice!

[@adrianprimandanu9318]

your video is great!

[@JousefM]

Thanks my friend

[@markalvinnogales5561]

Such a very helpful video, please share more. #cfd

[@JousefM]

Thanks buddy! There's more to come - stay tuned and make sure to invite friends who are also interested in engineering related topics (AI will come in the future :))! Cheers!

[@sriti_hikari]

Finally some clarity!

[@JousefM]

Shajia: "Finally some Clarity" Turbulence: "fInAlLy sOmE cLaRiTy"

[@sriti_hikari]

@@JousefM badum tss

[@huuthanhnguyen3910]

Great, I am a student of you. Thank you.

[@JousefM]

Happy to have you on board my friend :)

[@atatoraman9257]

y+ and wall functions would be great to talk about!

[@JousefM]

Will come Ata! :) I actually wrote a small "article" regarding y+ which you can find here: www.simscale.com/forum/t/what-is-y-yplus/82394 - a better explanation will follow :)

[@alcapone99231]

thank you

[@uditchoudhary2695]

Great content I wanted to learn CFD pls upload other videos also on CFD

[@JousefM]

Will do :) let me know what interests you! Derivation of Navier-Stokes? How to choose a proper mesh?

[@uditchoudhary2695]

@@JousefM Navier Stokes

[@JousefM]

@@uditchoudhary2695 Will plan for it Udit :)

[@carlosmaldonado8600]

@@JousefM everything! Thanks!

[@nandanseshadri1741]

I'm definitely up for CFD openFoam course😁

[@JousefM]

Planned and already promised - have to make sure to put it together in the near future 🙂

[@pratikpansarerjfhhuzzgh7052]

@@JousefM Still waiting for Open Foam course Jousef sir....

[@JousefM]

Might take a while, got a bigger video planned. A mini course will be available for free at some point on my channel. 🙂

[@juanponte8980]

Hello Jousef, great video!! Do you know an academic institution where I can learn about this online?

[@JousefM]

I think every Uni offering engineering education have lectures on CFD - never saw the opposite :)

[@gagandeep.p.2572]

you could also add the Lattice Boltzman method in the future

[@anurajnv8332]

Nice vedio.....I'm waiting for ns derivation and can you solve one research problem which already solved......

[@JousefM]

Hi Anuraj! Thanks for your comment. Will probably do another Beginner's Guide beforehand which will be about the Lattice-Boltzmann method. What research problem did you have in mind? We can do something like a lid-driven cavity, Ahmed body or something else. Let me know what your thoughts and ideas are!

[@angeltadeyalcocer8905]

Great Intro to CFD. I have to perform an individual project, the subject is CFD of behaveoir of CO2 in a fractured pipeline. Jousef do you have any experience in that topic?, if so, can we chat pls?

[@vinay3352]

hello Jousef, can you suggest where can I find video lectures on turbulence modelling? Are there any video lectures on understanding turbulence modelling? can someone please help !

[@JousefM]

Unfortunately there aren’t many good videos on KZbin. Look for some here - working on some in the future for sure!

[@NoBody-jw3xp]

Hey,please create a more videos on turbulent flows😍

[@JousefM]

Will do buddy :)

[@Toocrash]

Thank you

[@JousefM]

Cheers :)

[@AEOFF20]

Yes , i am come

[@kalummmchamaraa1232]

Great lecture. Have you uploaded lecture regarding OpenFOAM?

[@JousefM]

Planned for the future 🙂

[@apurvnandy3077]

hi Jousef, thanks for all the videos u put..i am new to the vast field of CFD, i can understand all the CFD schemes and theory stuff, but i have zero coding skills.. and so i am feeling stuck... should i take a basic programming course or just learn matlab/python for numerical methods or CFD problems?? plz appreciate ur suggestions

[@JousefM]

There’s some good ones on KZbin using matlab or Python. You can also use the book „Modern Fortran“ if you like hardcore stuff from Milan Curcic. Highly recommend this one!

[@apurvnandy3077]

@@JousefM ok i will check that

[@ademolajayeola9846]

Hello Murad, i do not know much about CFD ASYS, but can i use Flow Simulation in Solid Work to solve the same fluid flow problem in place of CFD-Ansy?

[@JousefM]

You could but if you have the time and energy, learn OpenFOAM :)

[@shuvranilsanyal1018]

Hi I have a project on CFD on "Unsteady flow over an accelerating flat plate- MacCormack's Approach" Where I have to solve the convection-diddusion equation by MaCormack's Explicit scheme in MATLAB...Can u please help?

[@JousefM]

I could do a tutorial on the convection-diffusion equation which was planned anyway but not for this particular application. The goal would be to interpret the so called Péclet number for stability purposes. Not sure if that helps.

[@shuvranilsanyal1018]

@@JousefM ok sir...But can you do a video on the above scheme and it's implementation on MATLAB code for this equation with appropriate initial and boundary conditions...?? Plzzzz

[@JousefM]

@@shuvranilsanyal1018 I have heard about that scheme but never implemented it. Can see what's possible but have other things that are high priority at the moment. On my to-do list in any case!

[@chukwuweikeokom9247]

As a beginner how do one use CFD to solve problems of air quality in buildings

[@Nayan133]

By using transport theory of species through fluids. In that - i) Mass conservation equation as per your dimensions. ii) Momentum conservation equation (To study its velocity & streamline patterns, effects of pressure differences, buoyancy forces if required, etc.) iii) Species transport equation which strongly coupled with mass conservation equation. iv) Energy equation - This is optional if your requirements in design involves heat transfer effects like natural convection of air particles or if external source of energy used like fans or blowers to move forcefully the air in room for maintaining its quality. v) Physics of saturated or unsaturated fluids & its thermodynamics aspects should be the primary requirement that how governing equations as mentioned above are involved in actual process of simulation. vi) Boundary conditions like temperature, pressure or velocities, contaminant or impurity concentration variations should be specified in the problem statement. vii) Study basic meshing techniques like hard or soft, fine or coarse, its geometries like tetrahedral or hexagonal, etc. viii)Choose steady state or transient solver with proper time steps & convergence criteria as per availability in software. If you wants final air quality status throughout the room then you can perform the steady state analysis. If you wants the status of complete process under some time frame then choose transient solver. ix) Can choose proper flow models like laminar or turbulent. Laminar models are preferred for very low air velocity flows otherwise, choose turbulent. In turbulent, there are many commercially available models like k-epsilon, k-omega, omega-SST, Algebraic y+, LES, or any other, etc. Read some of the research papers on simulation of air quality in buildings or a room. This will give you more insights.

[@apoorvvyas52]

Jousef I am still waiting for high quality turbulent stuff you promised. Where can I get it? I admire your videos though.

[@JousefM]

Going on slowly in the background. I though I’d rather have a „documentary“ kind of intro to turbulence and also cover beginner questions than to have a huge series. A turbulence course might come in the future with coding examples - high quality takes time my friend. Just know I’m working behind the scenes 🙂

[@thedude6535]

Hey, deine videos haben absolute top Qualität, gab direkt ein like! Ich bin eigentlich aus einem anderen Gebiet hier und verstehe ein paar Zusammenhänge zwischen verschiedenen Begriffen noch nicht, kannst du mir vielleicht weiterhelfen? Stimmt es, dass FEM eine Methode für CFD ist? Mich hat hier nur die Tabelle am Ende mit den Boundary Conditions etwas verwirrt, weil CFD und FEM ihre eigenen Spalten haben. Und weißt du vielleicht wo man die Methoden Lattice Boltzmann, Galerkin, Inverse Boundary und Arbitrary Lagrangian Eulerian einordnen kann und vor allem in welchem Schritt von CFD/FEM diese vorkommen? Sorry für den langen Comment, eine kurze Antwort wäre mehr als genug :D

[@JousefM]

Hey! Man kann den Ansatz der FEM auch für CFD Probleme verwenden aber das sind erstmal von Grund auf verschiedene Gebiete die aber auf ähnlichen Ideen beruhen und zwar bspw. der Diskretisierung einer Domäne in kleine Teile, über diese Elemente werden dann Annahmen getroffen und geschaut ab wann sich eventuell eine Zustandsgröße wie der Druck oder die Spannung nicht ändert? Tut sie das nicht? Ok dann gibts weitere Iterationen die es durchzuführen gibt was uns zum Gebiet der Konvergenzstudien bringt. Galerkin Ansätze oder den Ansatz findet man in beiden Gebieten, findet man durch be schnelle Google Suche heraus. Zu Lattice Boltzmann muss ich sowieso mal ein Video machen :D Hoffe ich konnte dir in irgendeiner Form weiterhelfen ;)

[@thedude6535]

@@JousefM Alles klar, danke für die schnelle Antwort! 💪

[@markrobintaylor]

Thanks for the great video. The sound constantly changes from clear to muted though, maybe it's something wrong with the audio compression

[@JousefM]

Thanks Mark! Yes indeed, that’s actually a bug of Premiere Pro when using the denoiser, it’s so annoying. In my new Matlab video that I just released it should be better. I found a workaround to filter the annoying frequencies out. Please give me some feedback if you like it that way :)

[@artyquantum7283]

Hi, i am having hard time even visualizing and starting to think about following problem: Consider a rigid body (with a mass "M" and interia tensor "I") which is completely submerged in a Fluid of constant viscosity "v" and constant density "d" at rest in a container (Boundary value problem). Now consider the fluid is disturbed by some external force "F" at a point "P" inside the container. How to calculate how much of the original force "F" acted upon that RigidBody and what are the components of that force on that rigid body. Can you help ? Thanks.

[@JousefM]

What about that thesis? :) archiv.ub.uni-heidelberg.de/volltextserver/8576/1/2008_07_17.pdf

[@artyquantum7283]

@@JousefM Thanks a lot, i will check and get back; i hope i can understand it fully :).

[@alexgitau3910]

hello i have a project based on cfd on a greenhouse structure can you help.

[@JousefM]

Have a look at these simulation examples: www.simscale.com/projects/#search=greenhouse&sortBy=project_popular&time=all - hope that helps!

[@jaiminshah1149]

Jousef i am not understand properly about existence and smoothness of naviour-stoke equation because it is mathematical approach, and it is come from continuum mechanics, it is not directly understand.

[@JousefM]

Will be covered in my turbulence video in the future 🙂

[@seerat_bhat]

When are you going to upload next videos

[@JousefM]

Thanks for asking and being so inquisitive! 😃 I thought about either uploading one on matlab using the ode45 solver or another beginner’s guide about the lattice-Boltzmann method. Depending on my workload it should appear at the end of the weekend, hopefully.. :)

[@DylanCVlogTV]

Did they use this on the 737 Max before it rolled out?

[@JousefM]

lol!

[@DylanCVlogTV]

@@JousefM I know it may come across as a joke, but it's not meant to be rhetorical or satirical.

[@JousefM]

@@DylanCVlogTV Was not sure if it was joke though ;-) But to answer your question, they definitely do CFD verification and validation but the problem with the 737 was a complete different one if I remember correctly (sensor/software issue!?) - so CFD would not have helped here.

[@ElementiDiUniversali]

Cool

[@Lightinhindi-vr4xf]

Can you upload the thermal stimulation in Ansys..

[@JousefM]

Hey mate! I mainly use SimScale but if I do a thermal analysis simulation the setup could be translated to another platform. What do you think?

[@Lightinhindi-vr4xf]

@@JousefM then pls do make transient thermal stimulation

[@JousefM]

@@Lightinhindi-vr4xf On my to-do list :) For the first #simulationsunday I had a radial pump simulation in mind.

[@ivantijerinaf1207]

Maybe a video made specially on where it is used, like full of examples.. Many time for the new person to the cfd world he wants to know much more on where is it being used, what has been done with it. i dont know. maybe its a bad recomendation. (im talking like at least 100 examples or something a bit extensive of examples and "real" aplications)*

[@JousefM]

Got what you meant 🙂 planned to have a short presentation or video on where CFD is currently used to give you a rough overview.

[@sruthifrancis6392]

can we use CFD for designing and modelling of carbon filter

[@JousefM]

Yes, by using porous media.

[@oscaralvarez714]

please please PLEASE do a simple coding example!!!

[@JousefM]

Advection-Diffusion Equation? 🤓

[@bukkenagamuninaik1835]

I want to learn CFD software.

[@bukkenagamuninaik1835]

My project is related to CFD

[@JousefM]

What are you currently working on? Maybe I have something in my backlog :)

[@antonyalwin1138]

@@JousefM brother... I am working on a cfd project... How will i start from scratch

[@JousefM]

@@antonyalwin1138 Might create a course on that relatively soon! Will be published on Coursera.

[@antonyalwin1138]

Wall function Y+... Pls share

[@JousefM]

Soon hopefully.

[@1991MHsffd]

Mal ne andere Frage, wie hast du so gutes Englisch gelernt ? Grüße aus Stuttgart :D

[@JousefM]

Danke 😅 find mein Englisch super normal, angefangen hat alles mit zocken wie bspw Dota oder Counter Strike in Clans, sprich man war gezwungen englisch zu sprechen. Ich glaub für jeden Skill ist es wichtig, dass man sich dazu bereiterklärt doof auszusehen und man dadurch dann sukzessive besser wird :) Grüße aus Karlsruhe 🙂

[@1991MHsffd]

@@JousefM danke für die Antwort ✌️☺️. Ja das Problem mit dem eigenen Ego aus dem weg räumen, des hab ich jetzt auch schon ein paar mal gehört/gelesen 😬 👍. Na dann weiter so, du machst gute Videos und deine Reichweite kann sich sehen lassen 😉 liebe Grüße.

[@JousefM]

Thanks und einfach dran bleiben. An der Reichweite ist definitiv noch was zu machen - müssen wieder mehr theoretische Videos kommen 😏

[@1991MHsffd]

@@JousefM KZbin ist ein Schnellball einfach weiter rollen lassen 😉

[@JousefM]

„Momentum is the best drug“ 🤓

[@ApteraEV2024]

27:50 BOOK LIST)))

[@JousefM]

www.jousefmurad.com/book-notes/ - here's an extensive list :)

[@gokaybacakci]

y+

[@JousefM]

Thanks for your input! Definitely an interesting topic! Feel free to vote in the community tab on my channel page so that I can see what you want to see next. Y+ is on my list!

[@alharithyousuf8616]

Many thanks for informative video!! I sent you an email and waiting for your much appreciated response

[@JousefM]

Which email did you send it to?

[@SabrinaXe]

Aa