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Unformatted text preview: fluid of density ρ, viscosity µ, thermal conductivity k, and specific heat at constant pressure Cp.
Determine the steady-state velocity distribution Vx as a function of channel height. Figure 178.1 Plane Poiseuille Flow Problem Sketch Material Properties
k = 1 Btu/in-sec-°F
ρ = 1.0 lb-sec2/in4
Cp = 1.0 Btu in/lb-sec2-°F
α = 1.0 in/in-°F
µ = 1.0 lb-sec/in2 Geometric Properties
H = 2 in
L = 10 in Loading
P1 = 0.1 psig
P2 = 0.0 psig Analysis Assumptions and Modeling Notes
Zero velocity gradient in the z-direction is assumed so that a two-dimensional model is adequate. No-slip
boundary conditions are applied along the channel walls (VX = VY = 0). The area is discretized with 8 elements
along the length L and 6 elements across the thickness H. Results Comparison
Vx , in/sec Target ANSYS Ratio @ y = 1.0 in 0.0050 0.0050 1.000 @ y = 1.33 in 0.0044 0.0044 1.01 @ y = 1.67 in 0.0028 0.0028 0.992 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–402 VM178 Figure 178.2 Velocity Vector Display Figure...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.
- Spring '09
- The Land