Mod-01 Lec-02 Conservation of Mass and Momentum: Continuity and Navier Stokes Equation

[@Prof.Dr.TahsinENGİN]

Dear Prof. Chakraborty, if the total external force acting on the CV is nonzero, could we still talk about the "conservativeness" of the linear momentum. I think the linear (also angular) momentum is not always essentially conserved. Therefore, I prefer the term "momentum balance or momentum equation" instead of "conservation of momentum". What do you think? You are doing a great job, and I always suggest my students to follows your courses.

[@allandavis6116]

It appears to me that at 15:26 the expressions for dN/dt sys and dN/dt cv are the same, the integral of rho*vel*dvol over sys and the cv, and at time t the sys and the cv coincide.

[@nisargvashi8629]

How come i is taken as direction normal of the surface and j is direction of action of force?We are taking j instead of ita and ita is direction normal of the surface...

[@dineshsaiyen3854]

Things written on the board is not clearly visible. Thanks for your great lecture!

[@anshulsingh7731]

I think, u r doing a great job.....I just wanna 2 say..."THANK YOU"

[@arijitsaha1472]

In conservation of mass the first eq on the RHS indicates the accumulation rate of mass in the control volume, if the Volume is non-deformable i.e rate of change of mass in the contol volume is zero so, why are we not considering it a zero instead?

[@redouanehemi9693]

if the Volume is non-deformable i.e rate of change of mass in the contol volume is zero so, is wrong assumption, we can have non deformable volume with change of mass

[@devvratsrathore]

Any ideas as to which books are being referred to for the derivation of the equations of conservation? Need a little more insight into the treatment of indices.

[@anirudhvenkatesh5799]

Fluid Mechanics - Frank. M. White

[@nravi87]

sir what you write on the board is not visible... contrast isn't good!

[@sylvainj.7021]

Is div(F)=dFi/dxj as written at 56:30 or div(F)=dFi/dxi ? Thank you

[@AshutoshKumar-pb7lq]

div(F) is always dFi/dxi

[@joserodrisan]

numerical computation of internal and external flow by Hirsch saludos

[@prasanjitdas4670]

lecture is very good. but sometimes camea work is very unclear.

[@acshina37]

Let's say we have 10 kg of water. What is the mass of water per "1 kg" of water. The answer will be "1 kg" of water. Generally, what is the mass of water per UNIT MASS of water, the answer will be ONE unit mass of water. And yes, mass has units. n = 1 because the rest of the term already has the unit of mass.

[@allstarcast]

Sorry it was all blurry and pixelated first watch, perfect when refreshed

[@TimeEnergyConsciousness]

Good

[@naga6491]

super++

[@CharlieTan84]

Why is the mass of a unit mass is 1? Why doesn't it have a unit? Perhaps this is a stupid question, but I had to ask. Thank you!

[@mithunmahato309]

it is mass per unit mass..so dimensionally it is a mass / mass ...so no unit ..

[@debarshimajumder9249]

as, n=N/m, here N=m

[@harishthethird]

womp womp

[@allstarcast]

Appalling camera work!

[@maheshnaik561]

Cant understand anything 🥲