Heat transfer analysis of Jeffery fluid flow over a stretching sheet with suction/injection and magnetic dipole effect
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The purpose of the present paper was to investigate the flow and heat transfer of Jeffery fluid past a linearly stretching sheet with the effect of a magnetic dipole. The governing differential equations of motion and heat transfer are transformed into nonlinear coupled ordinary differential equations (ODEs) using appropriate similarity transformations. Then the ODEs are solved by adopting two different schemes, Runge–Kutta with shooting technique and series solution based on GA and NM. The effect of various physical parameters including ferromagnetic interaction parameter (class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1110016816301521&_mathId=si1.gif&_user=111111111&_pii=S1110016816301521&_rdoc=1&_issn=11100168&md5=da2615e7820b7c3ecbc10e6736337319" title="Click to view the MathML source">βclass="mathContainer hidden">class="mathCode">β), Deborah number (class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1110016816301521&_mathId=si2.gif&_user=111111111&_pii=S1110016816301521&_rdoc=1&_issn=11100168&md5=0b65240d89a90e0f9b32cc6daba051fd" title="Click to view the MathML source">γ1class="mathContainer hidden">class="mathCode">γ1), Prandtl number (Pr), suction/injection parameter (S  ), ratio of relaxation to retardation times (class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S1110016816301521&_mathId=si3.gif&_user=111111111&_pii=S1110016816301521&_rdoc=1&_issn=11100168&md5=39a69d0b1845f5fe51f0fb486ae956f7" title="Click to view the MathML source">λ2class="mathContainer hidden">class="mathCode">λ2) on velocity and temperature profiles is illustrated graphically and in tabular form by considering two types of thermal process namely prescribed surface temperature (PST) and prescribed heat flux (PHF). Comparison with available results for particular cases is found an excellent agreement.

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