Prob. 12 Conservation of momentum equation for a steady and fully developed laminar flow of a...

 

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Prob. 12 Conservation of momentum equation for a steady and fully developed laminar flow of a viscous fluid in a circular pipe in cylindrical coordinates is d du 1 dp p dx + √ [ + (-²)] = r r dr dr The flow is extremely viscous, so that the energy equation reduces to 1 d 0=k-. r dr dr - (¹47) + u where is the viscous dissipation term. Determine the temperature distribution inside the pipe, subject to constant wall temperature (T= T at r=ro). 0 $ = (du/dr)² Prob. 12 Conservation of momentum equation for a steady and fully developed laminar flow of a viscous fluid in a circular pipe in cylindrical coordinates is d du 1 dp p dx + √ [ + (-²)] = r r dr dr The flow is extremely viscous, so that the energy equation reduces to 1 d 0=k-. r dr dr - (¹47) + u where is the viscous dissipation term. Determine the temperature distribution inside the pipe, subject to constant wall temperature (T= T at r=ro). 0 $ = (du/dr)²

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