Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. (English) Zbl 0914.76026
Summary: We consider the boundary layer heat transfer in a two-dimensional Newtonian fluid flow caused by a porous and linearly stretching sheet in the presence of blowing/suction. The thermal conductivity is assumed to vary linearly with temperature as is found in liquid metals. The resulting nonlinear energy equation forms a boundary value problem which is solved by a shooting method. A perturbation method is also used to derive a set of uncoupled, linear boundary value problems which are solved by the method of superposition.
MSC:
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
porous sheet; blowing; suction; nonlinear energy equation; boundary value problem; shooting method; perturbation method; method of superpositionReferences:
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