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In this study, the heat transfer is carried out for the stagnation point flow of micro-polar fluid for unsteady flow. To formulate an energy equation, Cattaneo–Christov heat flux model is applied despite formal Fourier's Law. The partial system of differential equations is transformed to coupled set of ordinary differential equations. The numerical results are obtained by invoking R − K integration procedure with shooting method. The flow carried to the separation region showed the attached flow phenomenon and reverse flow phenomenon depending upon the physical parameters involved in the study. An analysis is performed to show the effects of thermal relaxation time. Study shows that temperature profile declines for more sizably large values of relaxation time, while upsurges on incrementing Eckert number. [ABSTRACT FROM AUTHOR]

The flow of the Ellis fluid in the renal tubule is investigated in this paper. The fluid absorption at the wall is influenced by the pressure gradient across the wall and by the permeability of the wall. The governing equations are considerably simplified if the tubule radius is assumed to be much smaller than its length. Important quantities of interest are computed numerically. The results are compared with available data and are found to be in good agreement. [ABSTRACT FROM AUTHOR]

This article aims to explore the spiraling motion of a couple stress fluid over a disk rotating and radially stretching simultaneously. The spiraling motion is developed through the uniform rotation of the disk in addition to radial stretching. The logarithmic spirals in the disk velocity are produced due to the combined effects of stretching and rotation. The similarity transformations are invoked to obtain the coupled ordinary differential equations representing the flow. A Legendre wavelet spectral collocation method (LWSM) is employed for obtaining numerical solutions to analyze the effects of the pertinent parameters on the flow. The quantities of physical interest, i.e., radial and azimuthal skin friction coefficients, the wall shear stress, and the heat transfer rate are computed for the various values of the spiral angle, spiraling parameter, and couple stress parameter. It is found that enhancing the spiral angle declines the radial skin friction while enhancing azimuthal skin friction and the total wall shear stress. The temperature of the fluid is decreased for increasing the spiraling parameter and spiral angle, but increases for large couple stress parameter. [ABSTRACT FROM AUTHOR]