ECH 140 Lecture Notes - Lecture 5: Chemical Engineering
11 Feb 2014
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#1) consider steady-state heat transfer in a wall. The wall divides two environments: one at temperature t1 and the other at temperature t2. In the x-direction the wall is 1 foot thick, in the y and z directions the wall is 100 ft long. Starting with laplace"s equation for steady-state heat transfer in 3 directions, perform order of magnitude analysis to determine if you can neglect any terms in laplace"s equation. #2) solve the ode: (d2y/dx2) + x(dy/dx) = ax. #3) species mass transfer in a fluid flowing between a parallel plates conduit can be given in terms of the governing differential equation known as the convective-diffusion equation: vz( c/ z)=d[ ( 2c/ y2) + ( 2c/ z2) ] ,where vz is the velocity in the z direction, c is species concentration and d is the species diffusivity. The term on the left-hand side (lhs) accounts for convective mass transfer in the flow direction z (the axial direction).
