CH ENGR 101A Study Guide - Winter 2019, Comprehensive Final Exam Notes - Viscosity, Laminar Flow, Transport Phenomena

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29 Mar 2019
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Bernoulli"s equation: differential momentum balances i: linear momentum equation; moment of momentum (angular momentum) equation; deformation and stress tensors; generalized equations of motion; Bonus grades (up to 10%): occasional quizzes administered during recitation periods (approximately five in total) Eulerian coordinate - the independent variables are x, y, z and t or xi, t (i=13). The basic conservation equations are in the eulerian frame, r = r (xi,t). In the lagrangian frame attention is fixed on a particular mass of fluid as it flows, r = r (xo i,t), where the coordinate xi: specifies which fluid element is being considered. Consider a variable " such that then the total differential of " can be expressed as division by a time differential *t leads to the following expression. After taking the limit *t 6 0 is obtained for the material derivative (1. 2) (1. 3) (1. 4) (1. 5) in which vi is the fluid velocity in direction i.

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