Significance of Dufour and Soret effects on the non‐Darcy flow of Cross fluid by a tilted plate with radiation and chemical reaction: A Cattaneo–Christov heat flux model

Abstract

The Darcy-Forchheimer flow model is substantial in the fields where a high flow rate effect is a common phenomenon, for instance, in petroleum engineering. In this paper, we aim to scrutinize the aspects of crossdiffusion effects on the non-Darcy flow of Cross fluid by a tilted plate with thermal radiation and chemical reaction. Metamorphosed equations are resolved with the combination of shooting and Runge-Kutta fourth-order procedures. The correlation coefficient is used to discuss the impact of pertinent parameters on friction factor and transfer rates (heat and mass). The main findings of this study are that the Dufour number escalates fluid temperature and the Soret number ameliorates the fluid concentration. It is observed that the fluid velocity minifies with the elevation in the Forchheimer number.And also, it is perceived that the heat transfer rate has a generous positive relationship with the thermal relaxation parameter. Furthermore, validation of current results with the earlier results under specified conditions is performed and an adequate concord is seen.

Entropy generation and thermal analyses of a Cross fluid flow through an inclined microchannel with non‐linear mixed convection

“…The Cross-fluid is optically thick, hence the Rosseland approximation for thermal radiation is adequate to model. Thus, according to the linearized Rosseland approximation, the thermal radiative heat flux (𝑞 𝑟 ) is given below (see references [8,33]):…”

“…The consequence of the Winsberg number on the dynamics of Cross-fluids at the point of stagnation was analyzed by Hayat et al [27] and found a negative impact on the movement of the Cross fluid. In this direction, many investigators (Shahzad et al [28], Kim [29], Hosseinzadeh et al [30], Al-Kouz et al [31], Ayub et al [32], Rao et al [33], and references therein) were studied dynamics of Cross fluid over different geometries subject to different physical effects. However, the study of flow and heat transfer of Cross fluid in an inclined micro channel subjected to non-linear density variation and Newton boundary condition has not been considered yet.…”

“…[32], Rao et al. [33], and references therein) were studied dynamics of Cross fluid over different geometries subject to different physical effects. However, the study of flow and heat transfer of Cross fluid in an inclined micro channel subjected to non‐linear density variation and Newton boundary condition has not been considered yet.…”

Characterization of Cross nanofluid based on infinite shear rate viscosity with inclination of magnetic dipole over a three‐dimensional bidirectional stretching sheet

“…Owing to the incorporation of nanoparticles, thermal conductivity is increased and hence rapid heat transport takes place. Nanofluid has vital applications in engineering, 1–5 chemical industry, 6–10 and in thermal science, 11–14 and so forth. Mahian et al.…”

“…Owing to the incorporation of nanoparticles, thermal conductivity is increased and hence rapid heat transport takes place. Nanofluid has vital applications in engineering, [1][2][3][4][5] chemical industry, [6][7][8][9][10] and in thermal science, [11][12][13][14] and so forth. Mahian et al's 15 valuable work related to fundamentals and theory about advancement in modeling of nanofluid flows.…”