Question 1: Consider fully developed two-dimensional Poiseuille flow: flow between two infinite parallel plates separated by distance h, with both the top plate and bottom plate stationary, and a forced pressure gradient dP/dx driving the flow as illustrated in the figure (dP/dx is constant and negative). The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity components are given by 1 dP u(y) u = 2μ dx (y²hy); v = 0 where is the fluid's viscosity. Is this flow rotational or irrotational? a. If it is rotational, calculate the vorticity component in the z-direction. Do fluid particles in this flow rotate clockwise or counterclockwise? b. calculate the linear strain rates in the x- and y-directions, and c. calculate the shear strain rate ɛxy. d. Combine your results to form the two-dimensional strain rate tensor εij in the xy-plane,

Question 1: Consider fully developed two-dimensional Poiseuille flow: flow between two infinite parallel plates separated by distance h, with both the top plate and bottom plate stationary, and a forced pressure gradient dP/dx driving the flow as illustrated in the figure (dP/dx is constant and negative). The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity components are given by 1 dP u(y) u = 2μ dx (y²hy); v = 0 where is the fluid's viscosity. Is this flow rotational or irrotational? a. If it is rotational, calculate the vorticity component in the z-direction. Do fluid particles in this flow rotate clockwise or counterclockwise? b. calculate the linear strain rates in the x- and y-directions, and c. calculate the shear strain rate ɛxy. d. Combine your results to form the two-dimensional strain rate tensor εij in the xy-plane,

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.70P

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