Consider two long, horizontal, parallel plates with a viscous incompressible fluid placed between them. The two...
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Consider two long, horizontal, parallel plates with a viscous incompressible fluid placed between them. The two plates move in two opposite directions with two different constant velocities, as shown in Figure 2. There is no pressure gradient, and the only body force is due to the weight. Starting with the Navier-Stokes equations, determine an expression for the velocity profile for laminar flow between the two plates. V₂ V₁ Figure 2 (Q5A) The x-component of Navier-stokes equation is given as: ди dt ди ди du ax dy dz ·+U+V+w- pg where CD = др dx du du + O'y by + du 022 Part (B): Consider a flat plate at zero angle of attack in an airflow at standard sea level conditions (p=1.01x105 N/m² and T-= 288K). The chord length of the plate (distance from the leading edge to the trailing edge) is 1.9 m. The planform area of the plate is 40m². At standard sea level conditions, μ = 1.7894x10-5kg/(m) (s). Assume the wall temperature is the adiabatic wall temperature Taw. Calculate the friction drag on the plate when the freestream velocity is 100 m/s. Assume k = 1.4. Friction drag on one side of plate is F, = 0.5pU² ACD 1.328 √Re Consider two long, horizontal, parallel plates with a viscous incompressible fluid placed between them. The two plates move in two opposite directions with two different constant velocities, as shown in Figure 2. There is no pressure gradient, and the only body force is due to the weight. Starting with the Navier-Stokes equations, determine an expression for the velocity profile for laminar flow between the two plates. V₂ V₁ Figure 2 (Q5A) The x-component of Navier-stokes equation is given as: ди dt ди ди du ax dy dz ·+U+V+w- pg where CD = др dx du du + O'y by + du 022 Part (B): Consider a flat plate at zero angle of attack in an airflow at standard sea level conditions (p=1.01x105 N/m² and T-= 288K). The chord length of the plate (distance from the leading edge to the trailing edge) is 1.9 m. The planform area of the plate is 40m². At standard sea level conditions, μ = 1.7894x10-5kg/(m) (s). Assume the wall temperature is the adiabatic wall temperature Taw. Calculate the friction drag on the plate when the freestream velocity is 100 m/s. Assume k = 1.4. Friction drag on one side of plate is F, = 0.5pU² ACD 1.328 √Re
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Financial Accounting Tools for Business Decision Making
ISBN: 978-1118644942
6th Canadian edition
Authors: Paul D. Kimmel, Jerry J. Weygandt, Donald E. Kieso, Barbara Trenholm, Wayne Irvine
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