Exact Solutions of Heat Transfer in Boundary Layer Flow over a Permeable Shrinking Sheet in the Presence of Radiation and Heat Source / Sink

Chandaneswar Midya
Page No. 47-56

An analytical study is presented to investigate the heat transfer characteristic of boundary layer
flow over a linearly shrinking permeable sheet in the presence of radiation and heat source/sink.
The governing boundary layer equations are reduced into ordinary differential equations by a
similarity transformation. The reduced equations are then solved analytically for power-law
surface temperature boundary conditions. The dual temperature is found to exist for any values of
heat sink parameter for suction parameter s > 2. But in heat source case, the dual temperature may
be obtained for s > 2 subject to the condition , where λ is the heat source/sink
parameter, Pr the Prandtl number, D the parameter related to radiation and α is the real positive
root satisfying α But for physically valid flow and heat transfer real parameters, it
difficult to satisfy the above condition for both the root The effects of radiation parameter,
Prandtl number, heat source/sink parameter, the wall mass transfer parameter on the temperature
distribution are studied.
Keywords: Shrinking sheet, suction, boundary layer flow, Heat transfer, Thermal radiation, heat
source/sink, Exact solution.