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Q2/ Power-law film flow. Consider the film flow of a power-law fluid with parameters к and n and density p down a plate inclined at angle with respect to the horizontal. If the film thickness is H: a. Derive an expression for the resulting velocity profile vx as a function of y (distance from the plate), H, K, n, g, p, and b. Sketch three representative velocity profiles (each having, for simplicity, the same maximum velocity, which in practice would mean different values of к), for n < 1, n = 1, and n > 1, and comment briefly on the important features. c. Derive an expression for the volumetric flow rate of the liquid per unit width of the plate. Check your answer against the known expression for a Newtonian fluid: Q= H³pg sin 37

Q2/ Power-law film flow. Consider the film flow of a power-law fluid with parameters к and n and density p down a plate inclined at angle with respect to the horizontal. If the film thickness is H: a. Derive an expression for the resulting velocity profile vx as a function of y (distance from the plate), H, K, n, g, p, and b. Sketch three representative velocity profiles (each having, for simplicity, the same maximum velocity, which in practice would mean different values of к), for n < 1, n = 1, and n > 1, and comment briefly on the important features. c. Derive an expression for the volumetric flow rate of the liquid per unit width of the plate. Check your answer against the known expression for a Newtonian fluid: Q= H³pg sin 37

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Q2/ Power-law film flow. Consider the film flow of a power-law fluid with parameters к and n and density p down a plate inclined at angle with respect to the horizontal. If the film thickness is H: a. Derive an expression for the resulting velocity profile vx as a function of y (distance from the plate), H, K, n, g, p, and b. Sketch three representative velocity profiles (each having, for simplicity, the same maximum velocity, which in practice would mean different values of к), for n < 1, n = 1, and n > 1, and comment briefly on the important features. c. Derive an expression for the volumetric flow rate of the liquid per unit width of the plate. Check your answer against the known expression for a Newtonian fluid: Q= H³pg sin 37
Transcribed Image Text:Q2/ Power-law film flow. Consider the film flow of a power-law fluid with parameters к and n and density p down a plate inclined at angle with respect to the horizontal. If the film thickness is H: a. Derive an expression for the resulting velocity profile vx as a function of y (distance from the plate), H, K, n, g, p, and b. Sketch three representative velocity profiles (each having, for simplicity, the same maximum velocity, which in practice would mean different values of к), for n < 1, n = 1, and n > 1, and comment briefly on the important features. c. Derive an expression for the volumetric flow rate of the liquid per unit width of the plate. Check your answer against the known expression for a Newtonian fluid: Q= H³pg sin 37
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