Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Abstract

This article investigates the Hall and ion‐slip impacts on the mixed convection flow of a Maxwell nanofluid over an expanding surface in a permeable medium. The impacts of Brownian movement and thermophoresis parameters, Soret, Dufour, viscous dissipation, chemical reaction, and suction parameters, are, moreover, considered. Using the similitude changes, the partial differential equations with regard to the momentum, energy, and concentration equations are transformed to an arrangement of nonlinear ordinary differential equations, which are handled numerically utilizing a spectral relaxation method (SRM). The impacts of noteworthy physical parameters on the velocities, thermal, and concentration distributions are investigated graphically. Moreover, the numerical values of skin‐friction coefficients, local Nusselt number, and Sherwood number for different values of the mixed convection parameter ( γ ) , Deborah number ( λ ) , Hall parameter false( β H false) , ion‐slip parameter false( β i false) , Dufour number (Du), and Soret number ( Sr ) are computed and tabulated. It is discovered that ascent in Deborah number reduces both the stream and transverse velocity profiles, while the inverse pattern is seen with augmentation in the mixed convection parameter. In addition, inverse patterns of the stream and transverse velocity profiles are seen with expansion in magnetic, Hall, and ion‐slip parameters. Besides this, the temperature and concentration disseminations decline with augmentation in Dufour number and chemical reaction parameters, respectively. It is likewise seen that both the skin‐friction coefficients lessen with expansion in Deborah number, and they ascend with upgrade in blended convection and ion‐slip parameters, while the opposite condition is noticed with augmentation in Hall parameter. Furthermore, the reverse trends of local Nusselt and Sherwood numbers are discovered with expansion in the Dufour and Soret numbers.

Hall and Ion Slip Effects on Mixed Convection Flow of Eyring-Powell Nanofluid over a Stretching Surface

“…The strategy is created by assessing the linear terms at the current iteration level r + 1 and nonlinear terms at the former iteration level r. The Chebyshev pseudospectral technique is used to unravel the decoupled equations. For the subtleties of the technique, interested readers can refer [3,[46][47][48]. Hence, to utilize the SRM, we start by decreasing the request for the momentum (equation ( 12)) from third to second order presenting the change f ′ = h so that f ′ ′ = h′ and f ′ ′′ = h ′ ′ :Along these lines, equations ( 12)-( 15) become…”

“…The overseeing equations can be changed to coupled nonlinear ordinary differential equations utilizing the subsequent similarity transformations [3,36]:…”

“…Besides, Rasool et al [2] examined a numerical investigation of the MHD Williamson nanofluid flow maintained to flow through permeable medium bounded by a nonlinearly stretching flat surface and reported that an enhancement in the values of magnetic parameter augments the drag force, whereas a decrement in the drag force can be observed as the values of Weissenberg number enhances. Also, Ibrahim and Anbessa [3] examined the mixed convection stream of a Maxwell nanofluid over a growing surface in a penetrable medium utilizing the spectral relaxation method (SRM) and found that a climb in Deborah number decreases both the stream and transverse velocity profiles, while the backwards design is seen with enlargement in the mixed convection parameter. Furthermore, Waini et al [4] examined the consistent mixed convection stream along a vertical surface implanted in a permeable medium with hybrid nanoparticles utilizing the bvp4c solver in Matlab programming.…”

“…Consequently, the fundamental object of the present work is to examine the impact of Hall and ion slip on the mixed convection stream of Eyring-Powell nanofluid past a vertical linearly extending sheet through a penetrable medium in the presence of Joule heating with the Cattaneo-Christov heat and mass transition model. Numerical clarifications were accomplished employing the spectral relaxation method [3,[46][47][48]. The effects of embedding parameters on the velocity, temperature, and concentration fields are analyzed graphically.…”

Non-isothermal Bingham fluid flow between two horizontal parallel plates with Ion-slip and Hall currents

“…5. The magnitude of the dimensionless parameters that have been used, in this study, are chosen as investigated in some recent studies by Jha et al [29] and Ibrahim and Anbessa [30]. For ensuring a concise discussion, the impacts of rest of the parameters namely, Hall parameter e , Prandtl number P r , Eckert number E c , Reynolds number R e and Bingham number D are not discussed.…”