The discussion revolves around the concepts of shear stress direction and velocity gradients in fluid mechanics, particularly in laminar flow scenarios. Participants explore the implications of shear stress on fluid elements in pipes and between parallel plates, examining how these stresses are determined and their directional characteristics.
Participants exhibit a mix of understanding and confusion regarding the application of stress tensors and shear stress concepts. There is no consensus on the interpretation of certain mathematical expressions or the implications of the Cauchy stress relationship, indicating ongoing debate and exploration of these ideas.
Participants acknowledge the complexity of the stress tensor and its application, with some expressing that they are still grappling with foundational concepts. The discussion reflects a range of assumptions and interpretations that have not been fully resolved.
The term in #19 follows from the equations for the stress tensor components for a viscous Newtonian fluid. Are you familiar with these equations?Rahulx084 said:sir but how to get the term in #19 ? and sir one more doubt If we have a cubical element how we are going to write the term #19 ? Is it going to remain the same??
See page 29 of http://web.mit.edu/2.25/www/pdf/viscous_flow_eqn.pdfRahulx084 said:I think I'm not familiar with that. Actually sir this isn't in my course but I'm learning it because it seems so interesting plus your great explanations . Can you provide me with only the results of cubical element or if there is any source where I can find it so that I can look after , or maybe you tell me sir.
See Eqns. 43 of that same reference.Rahulx084 said:can you just give me the result for stress tensor of cubical and parallelopiped one ? It would be so nice of you . Thanks