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MHD stagnation point viscoelastic fluid flow and heat transfer on a thermal forming stretching sheet with viscous dissipation
Author(s) -
Hsiao KaiLong
Publication year - 2011
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.20474
Subject(s) - heat transfer , mechanics , prandtl number , churchill–bernstein equation , stagnation point , thermodynamics , deborah number , boundary layer , convective heat transfer , eckert number , materials science , newtonian fluid , nusselt number , flow (mathematics) , physics , reynolds number , turbulence
An incompressible steady two‐dimensional forced convection with magnetic hydrodynamic (MHD) second‐grade non‐Newtonian (Viscoelastic) fluid flow on a stagnation point of a thermal forming stretching sheet has been studied. A parameter M which is used to represent the dominance of the magnetic effect has been presented in governing equations. The similar transformation, the perturbation expansion and an implicit finite‐difference method have been used to analyse the present problem. The numerical solutions of the flow velocity distributions, temperature profiles, the wall unknown values of f ″(0) and θ '(0) for calculating the heat transfer of the similar boundary‐layer flow are carried out as functions of the viscoelastic number k , the Prandtl number Pr , the dissipation parameter E and the magnetic parameter M . The effects of these parameters have also discussed. The value of k is an important factor in this study. It will produce greater heat transfer effect with a larger k or Pr and parameters M or E will reduce heat transfer effect. The non‐Newtonian flow heat transfer effect is better than a Newtonian flow heat transfer effect.