Boundary layer, laminar forced numerical solution

A numerical solution to the laminar boundary layer equations for natural convection can be obtained using basically the same method as applied to forced convection in Chapter 3. Because the details are similar to those given in Chapter 3, they will not be repeated here. 

Boundary-layer theory has been applied to solve the heat-transfer problem in forced convection laminar flow along a heated plate. The method is described in detail in numerous textbooks (El, G5, S3). Some exact solutions and approximate solutions are also obtained (B2, S3). 

When flow occurs about a sphere the solution to tins forced convection mass transfer problem is quite complex because of the complexity of the flow field. At low flow rates (creqiiiig flow) a laminar boundary layer exists about the sphere which separates from die surface at an at ular porition and moves lowani the forward stagnation point as the flow rate increases. Wake fimnation occurs st the tear of the sphere. At still higher flow rates transition to a turbulent boundary layer occurs. Solutions to the problem of mass transfer during creeping flow about a sphere (Re < 1) have been developed by a nombw of authors with the numerical solutions of Brian and Hales being perhaps the most extensive. Their result is... 

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