A numerical study for heat and fluid flow of couple stress fluid over a spiraling disk by Legendre wavelet spectral collocation method

Abstract

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.

Lubrication effects on axisymmetric flow of a micropolar fluid by a spiraling disk

“…coupled equations (23)(24)(25)(26)(27)(28) along with boundary conditions (29)(30) are obtained by applying the shooting method using Newton-Raphson root finding algorithm. Tables 1 and 2 are computed to estimate the lubrication effects on the engineering properties for strong and weak concentrations of microelements.…”

“…Recently, Sadiq et al [28] visualized the impact of Jeffrey fluid flow on the spiral motion of the disk and computed the effects of time retardation and relaxation in the flow phenomenon. In another article [29], Sadiq et al analyzed the heat transfer phenomenon in spiraling disk motion for the couple stress fluid.…”

Radial stagnation flow of a micropolar fluid over a twisting cylinder

“…He found the interesting feature that both wall shear stresses are strong functions of R but the axial stress $$( {f^{\prime\prime}( 1 )} )$$ is a weak function of σ and azimuthal stress $$( {g^{\prime}( 1 )} )$$ is a strong function of σ. Sadiq et al. [6–9] investigated the different aspects of the fluid flow by incorporating a spiraling disk phenomenon and computed the flow analysis for the simultaneous effect of disk rotation as well as the disk stretching for rough and the lubricated surfaces of the disk.…”

Analyzing MHD Williamson fluid over a porous stretching sheet with heat and mass transfer by applying Chebyshev Wavelet operational matrix method

“…The two cases i.e., asymmetric and 2-dimensional flow for the moving surface has been studied by Vidyashree et al [28] through conversion of higher order differential equation utilizing similarity transformations. The combined impact of rotation and stretching results in spiral nature of velocity through legendre wavelet method has been explored by Sadiq et al [29]. The Jeffery fluid flow analysis has been made by Vivek and Manoj Kumar [30] and numerical outcomes are obtained through wavelet operational matrix method.…”