Question 6 A liquid flows down an inclined plane surface in a steady, fully developed laminar film of thickness h. Simplify the continuity and Navier-Stokes equations to model this flow field. Obtain expressions for the liquid velocity profile, the shear stress distribution, the volume flow rate, and the average velocity. Relate the liquid film thickness to the volume flow rate per unit depth of surface normal to the flow. Calculate the volume flow rate in a film of water h = 1 mm thick, flowing on a surface b = 1 mm wide, inclined at 0 = 15° to the horizontal. 0 15° h = 1 mm Width b = 1 m Answer: upg Q = V sine μ Txy = pgsine (h - y) bpgsine h³ μl 3 = Q bh v-22²) = hy bpgsinፀ h3 μ 3 h = 3μQ bpgsine Q = 0.846 L/s 1/3

Question 6 A liquid flows down an inclined plane surface in a steady, fully developed laminar film of thickness h. Simplify the continuity and Navier-Stokes equations to model this flow field. Obtain expressions for the liquid velocity profile, the shear stress distribution, the volume flow rate, and the average velocity. Relate the liquid film thickness to the volume flow rate per unit depth of surface normal to the flow. Calculate the volume flow rate in a film of water h = 1 mm thick, flowing on a surface b = 1 mm wide, inclined at 0 = 15° to the horizontal. 0 15° h = 1 mm Width b = 1 m Answer: upg Q = V sine μ Txy = pgsine (h - y) bpgsine h³ μl 3 = Q bh v-22²) = hy bpgsinፀ h3 μ 3 h = 3μQ bpgsine Q = 0.846 L/s 1/3

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.56P

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