Energy transport near Homann stagnation point flow over a spiraling disk with Cattaneo–Christov theory

Abstract

In this paper, axisymmetric magnetohydrodynamic (MHD) Homann flow is studied normally over a stretching and spiraling disk in the stagnation region. Homann’s problem is modified with simultaneous effects of the radial linear stretching and uniform rotation of the disk. The magnetic field is applied perpendicular to the motion of the flow. The energy and mass distribution phenomena are analyzed by using Cattaneo–Christov (CC) double diffusion model, heat sink/source and chemical reaction effects. The main purpose of this study is to highlight the significance of CC theory on Homann problem along with asymptotic behavior. Similarly, ansatzes are utilized to transform the partial differential equations into ordinary differential equations. The solutions are computed numerically by a built-in scheme, namely, bvp4c in MATLAB. Moreover, it is concluded that the surface velocity is produced in the form of a spiral logarithm because of the continual activity of radial stretching and uniform rotation of the disk. The outcomes of magnetic field, rotation and stretching parameters are discussed graphically for coefficients of skin friction. The coefficient of skin friction along the [Formula: see text]-axis is enhanced, whereas along [Formula: see text]-axis, it is decreased by varying stretching and rotating parameters. The impact of thermal and solutal relaxation time coefficients reveals that they reduce the heat and mass transfer rates, respectively.