Recent content by Shivam Sinha

Thank you! This is the answer I was looking for. Just one question: You said it won't oscillate if the load is applied slowly. When you say that, do you mean that the load starts from zero and gradually increases to the maximum value? Also, how slow should the load be applied? I believe that...

Hi, My question is: If a constant load is applied at the free end of a perfectly elastic cantilever beam, would the beam oscillate about a mean position? Or would it eventually come to rest at the equilibrium position? There are no damping effects. Thank you.

For the sake of simplicity, let's just discuss about tthe static case, where E = - grad(V). How would you use both the boundary conditions? Only one boundary condition for V is required as it is a scalar quantity. Using both conditions would lead to overconstraining.

Hi, I have some confusion about the jump conditions for an electric field across an interface between two materials with different properties. In general, we have the two jump conditions across an interface: n.(ɛE)+ - n.(ɛE)- = σ...

Please explain further. Are you suggesting that the "local pressure" in a moving fluid is the normal stress at a point (which is not equal in all directions)? This is the basis of my confusion. In equilibrium thermodynamics, pressure is defined to be the normal stress at a point which is equal...

Pardon me, what I meant to say was that the normal stress at a point in a moving fluid is not equal in all directions i.e it depends on the orientation of the surface on which the stress is acting.

Moving fluids are generally in a state of non-equilibrium. However, in fluid dynamics, people generally assume a state of local thermodynamic equilibrium and argue that in such a condition, equilibrium thermodynamic concepts such as pressure, temperature, entropy, internal energy etc. can be...

Yes, I have looked at the derivation using the integral energy conservation.

Thanks, I agree that in the real world, flow around a turbine is not inviscid. Hence, the Euler's equation and the Bernoulli equation will provide incorrect results. And so, we use the integral conservation of energy in such cases. Many books say that even if the flow in the turbine were...

I gave some more thought to this question and arrived at the conclusion that the flow through rotating blades cannot be steady. Hence, the standard Bernoulli equation is not valid in such cases. However, if we choose a frame of reference attached to the rotor, the flow can be steady and the...

Hi, I have never found a satisfactory explanation for why the Bernoulli equation is not valid when the streamline passes through a turbine, pump or another work transferring device. I have read many books that simply state this limitation without providing a convincing reason. Bernoulli...

Hello, I am Shivam. I am a mechanical engineer primarily interested in the thermal sciences - fluid mechanics, heat transfer and thermodynamics.