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Problem Solving in Chemical and Biochemical Engineering with POLYMATH, by Michael B. Cutlip - University of Connecticut, Mordechai Shacham - Ben-Gurion University of the Negev

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Chapter 8. Fluid Mechanics

Laminar Flow of a Newtonian Fluid in a Horizontal Pipe

Concepts Demonstrated

Solution of momentum balance to obtain shear stress and velocity profiles for a Newtonian fluid in laminar flow in a horizontal pipe and comparison of numerical and analytical solutions.

Numerical Methods Utilized

Solution of simultaneous first order ordinary differential equations employing a shooting technique to converge on the desired boundary conditions, use of combined variables, and avoidance of division by zero in calculating expressions.

Problem Statement

An incompressible Newtonian fluid is flowing at steady state inside a horizontal circular pipe at constant temperature. This flow is fully developed so that the velocity profile does not ...

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