Darcy–Forchheimer flow of CNTs-H₂O nanofluid over a porous stretchable surface with Xue model

Abstract

This investigation includes a three-dimensional Darcy–Forchheimer flow model and the heat transfer phenomenon of H2O-CNTs nanofluid for a two-way stretchable surface. Xue’s proposed thermal conductivity model is employed. The numerical analysis scheme is applied to solve the transformed PDEs. The outline of velocities, temperature, surface drag forces and Nusselt number against relevant variables are portrayed. From this study, it has been noted that with an increase in Eckert numbers along both directions, two patterns were obtained for temperature curves, the initial temperature outlines increased and after that they decreased. Moreover, the width of the thermal boundary layer for H2O-MWCNT nanofluid was more compared to H2O-SWCNT nanofluid. To validate the existing code, numerical outcomes were compared to the earlier published data.

Dual Solutions and Stability Analysis of Cu-H2O-Casson Nanofluid Convection past a Heated Stretching/Shrinking Slippery Sheet in a Porous Medium

“…To determine the unknown initial conditions k 1 , k 2 , l 1 , and l 2 , we shoot them for arbitrary slope so that the solution of the system of ODEs satisfies the boundary conditions at ∞, and its accuracy is checked by comparing the calculated quantities with the provided end points. After obtaining these values, we apply the fourth-fifth order Runge-Kutta-Fehlberg technique to solve a system of first-order ODEs in (33) with boundary conditions (34) and determine ε from (35). To get the dual solutions, we take different initial approximates for the values of k 1 , k 2 ,where all profiles asymptotically satisfy the ∞ boundary conditions.…”

“…Shaw et al [34] studied the application to brain dynamics of the impact of entropy generation on the Darcy-Forchheimer flow of MnFe 2 O 4 -Casson/water nanofluid because of a rotating disk. In their recent study, Upreti et al [35] discussed the hydromagnetic stagnation point magnetite ferrofluid flow over a convectively heated shrinking/stretching permeable sheet surface which is exposed to injection/suction in a Darcy-Forchheimer porous medium. Joshi et al [36] investigated the Darcy-Forchheimer flow model in a threedimensional case and the heat transfer phenomenon of H 2 O-CNT nanofluid on a two-way stretchable surface, and it was observed that with an enhancement in the Eckert numbers along the two directions, for temperature curves, two patterns were obtained, the initial temperature outlines rose, and after that, they diminished.…”

“…A thorough observation of the aforementioned abovecited reviews and works reveals that no scientific analysis has been done to study the mutual effects of the slipperiness of the surface, nanoparticle volume fraction, thermal and viscous dissipation, porous media, and stretching/ shrinking surface on the rate of heat transfer enhancement in a flow into the boundary layer of the Cu-H 2 O-Casson nanofluids. Filling the gap in the work of Upreti et al [35] (in which they consider MHD Newtonian flow), this paper considers non-Newtonian flow subjected to a slippery surface. Since in this type of fluid flow problem, dual solutions possibly exist due to stretching/shrinking surface, the main goal of this paper is to do stability analysis to determine physically reliable and stable solutions and enhancement of heat transfer as a result of adding the Cu-H 2 O nanoparticle to non-Newtonian Casson fluids for the coupled transformed ordinary differential equations.…”

Non‐Darcy‐Forchheimer flow of Casson‐Williamson nanofluid on melting curved stretching sheet influenced by magnetic dipole

“…Recently many authors [38–42] have contributed towards this research work. Moreover, the development in the field has been observed by the eminent scholars [14, 43–49] which has been considered in the present study.…”

Comparative study of ternary hybrid nanofluids with role of thermal radiation and Cattaneo-Christov heat flux between double rotating disks

“…The effects of stress, flow, and heat transfer over a spinning disc with temperature-dependent nanofluid characteristics were examined by Upreti et al 22 . Upreti et al 23 studied the MHD flow rate of nanofluid across a porous surface using the Xue framework. Pandey et al 24 looked at the impact of spontaneous convection on the three-dimensional flow of nanostructures across porous surfaces.…”