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Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that a...
HW 8 Poiseuille flow: Fully developed laminar pipe flow (in cylindrical coordinate) - The simplified z-momentum equation - The boundary conditions = No slip at r=R The Navier-Stokes equation for 2D (x,y) incompressible flow DV P -Op+uv2V + pg dt - Assumptions: 1. 2. 3. 4. 5. 6. Finite velocity at r=0 - Final velocity solution of Poiseuille flow - The rz component of the NS equation (in cylindrical coordinate) - Volume flow rate (Q = ſ vedA)
Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long (L) parallel surfaces separated by a distance b. The bottom surface at y 0 moves in the negative x-direction at a speed vo while the top surface at y b is stationary. In addition, a constant pressure gradient dP/dx is acting on the liquid in the x-direction. (a) Write the simplified form of the Navier-Stokes equation and the appropriate boundary conditions. (b) Derive an...
Alt 9) Gas A, in fully developed, laminar air flow, enters a tubular inhaler of A in radius and I in reacts at the inner wall of the inhaler to fom gas B. The per unit area is-r.-k"C. To obtain the Ca profile we do the shell rate of A balance of mass transfer, where the generation term is a catheter of radius Rc placed in a small artery of radius R as shown the moves at a constant speed...