Numerical and asymptotic study of heat source/sink using Maxwell fluid near nonaxisymmetric Homann stagnation‐point flow.

In this manuscript, heat transfer analysis of a nonaxisymmetric Homann stagnation-point flow of a Maxwell fluid is performed using a heat source and sink. The governed system of partial equations is reduced to the system of ordinary equations by employing the similarity variables. The numerical and asymptotic results are computed by employing the shooting technique. The effects of various parameters are analyzed on velocity and temperature profiles. Numerical results for skin friction coefficient and Nusselt number are computed for different involved parameters. The sound effects of 𝛾=𝑏/𝑎 (𝑏 is the shear rate and 𝑎 is strain rate) are examined for different profiles over (−∞,∞). Solutions for diverse values of heat source/sink parameter 𝑆, Deborah number 𝛽₁, and 𝛾 are obtained. Local Nusselt number and wall shear stress parameter are compared with their large-𝛾 asymptotic behavior. It is found through analysis that the heat transfer rate increases for Deborah 𝛽₁ and Prandtl number 𝑃_𝑟. However, the addition of a source declines the heat transfer rate, whereas the sink enhances the heat transfer rate. However, the temperature of the fluid decreases as 𝛾 and 𝑃_𝑟 increase. Meanwhile, the temperature of the fluid increases as 𝑆 increases. [ABSTRACT FROM AUTHOR]