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Problem mts): Consider incompressible Newtonian fluid flow between parallel plates (Fig. 2) that are horizontal and a distance h apart. A constant pressure gradient is applied in the x-direction (dp/dx). The flow is fully developed laminar and steady. The plate width is denoted by B. a) Simplify the governing equations (da); b) Determine the velocity profile pin(); c) Develop an expression for the flow rate ( g Continuity Equation Fixed u(3) Fixed h

Problem mts): Consider incompressible Newtonian fluid flow between parallel plates (Fig. 2) that are horizontal and a distance h apart. A constant pressure gradient is applied in the x-direction (dp/dx). The flow is fully developed laminar and steady. The plate width is denoted by B. a) Simplify the governing equations (da); b) Determine the velocity profile pin(); c) Develop an expression for the flow rate ( g Continuity Equation Fixed u(3) Fixed h

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problems): Consider incompressible Newtonian fluid flow between parallel plates (Fig. 2) that are horizontal and a distance h apart. A constant pressure gradient is applied in the x-direction (dp/dx). The flow is fully developed laminar and steady. The plate width is denoted by B. Simplify the governing equations (4) b) Determine the velocity profile p a) c) Develop an expression for the flow rate Continuity Equation 26 + 24 (pu) + 2/5 of Momentum Equations Pfx PSY ap ax + μl ap + pl ay ap + ax (pv) + ax + + a²u ay + + (pm²) = 0 = = P dv at ar + 11 + 11 + u du əx In Əx + v + v + v dv dy du dy + w + w Fixed Fig. 2: Flow between parallel plates with a constant pressure gradient + w du Iv əz JH əz ↑ 1 Fixed ↑ Umas h
Transcribed Image Text:Problems): Consider incompressible Newtonian fluid flow between parallel plates (Fig. 2) that are horizontal and a distance h apart. A constant pressure gradient is applied in the x-direction (dp/dx). The flow is fully developed laminar and steady. The plate width is denoted by B. Simplify the governing equations (4) b) Determine the velocity profile p a) c) Develop an expression for the flow rate Continuity Equation 26 + 24 (pu) + 2/5 of Momentum Equations Pfx PSY ap ax + μl ap + pl ay ap + ax (pv) + ax + + a²u ay + + (pm²) = 0 = = P dv at ar + 11 + 11 + u du əx In Əx + v + v + v dv dy du dy + w + w Fixed Fig. 2: Flow between parallel plates with a constant pressure gradient + w du Iv əz JH əz ↑ 1 Fixed ↑ Umas h
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