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Numerical Scrutinization of Darcy-Forchheimer Relation in Convective Magnetohydrodynamic Nanofluid Flow Bounded by Nonlinear Stretching Surface in the Perspective of Heat and Mass Transfer

TLDR
In this article, a numerical examination of the Darcy-Forchheimer relation in convective magnetohydrodynamic nanofluid flow bounded by non-linear stretching sheet is performed.
Abstract
The aim of this research is mainly concerned with the numerical examination of Darcy-Forchheimer relation in convective magnetohydrodynamic nanofluid flow bounded by non-linear stretching sheet A visco-elastic and strictly incompressible liquid saturates the designated porous medium under the direct influence of the Darcy-Forchheimer model and convective boundary The magnetic effect is taken uniformly normal to the flow direction However, the model is bounded to a tiny magnetic Reynolds number for practical applications Boundary layer formulations are taken into consideration The so-formulated leading problems are converted into highly nonlinear ordinary problems using effectively modified transformations The numerical scheme is applied to solve the governing problems The outcomes stipulate that thermal layer receives significant modification in the incremental direction for augmented values of thermal radiation parameter Rd Elevation in thermal Biot number γ1 apparently results a significant rise in thermal layer and associated boundary layer thickness The solute Biot number is found to be an enhancing factor the concentration profile Besides the three main profiles, the contour and density graphs are sketched for both the linear and non-linear cases Furthermore, skin friction jumps for larger porosity and larger Forchheimer number Both the heat and mass flux numbers receive a reduction for augmented values of the Forchheimer number Heat flux enhances, while mass flux reduces, the strong effect of thermal Biot number The considered problem could be helpful in any several industrial and engineering procedures, such as rolling, polymeric extrusion, continuously stretching done in plastic thin films, crystal growth, fiber production, and metallic extrusion, etc

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Thermally Enhanced Darcy-Forchheimer Casson-Water/Glycerine Rotating Nanofluid Flow with Uniform Magnetic Field.

TL;DR: In this article, the impact of nonlinear thermal radiation on magnetohydrodynamic (MHD) Darcy-Forchheimer Casson-Water/Glycerine nanofluid flow due to a rotating disk was analyzed by invoking the numerical Runge Kutta 45 (RK45) method based on the shooting technique.
Journal ArticleDOI

Intelligent backpropagated neural networks application on Darcy-Forchheimer ferrofluid slip flow system

TL;DR: In this paper, a mathematical model for second order velocity slip flow of Darcy-Forchheimer ferrofluid model (DF-FFM) by employing the intelligent computing paradigm via Artificial Levenberg Marquardt Method with backpropagated neural networks (ALMM-BNN) is presented.
Journal ArticleDOI

Numerical Analysis of Thermal Radiative Maxwell Nanofluid Flow Over-Stretching Porous Rotating Disk.

TL;DR: In this article, the traditional swirling flow of Von Karman is optimized for Maxwell fluid over a porous spinning disc with a consistent suction/injection effect, which is numerically computed with the bvp4c method and for validity purposes, the results are compared with the RK4 technique.
Journal ArticleDOI

Bioconvection transport of Carreau nanofluid with magnetic dipole and nonlinear thermal radiation

TL;DR: In this paper, Carreau nanomaterial is used for the composition of the flow in rheological relationships with bioconvection and Buongiorno's nanofluid model to analyze thermophoresis and Brownian motion characteristics.
Journal ArticleDOI

Review on Nano-Fluids Applications and Heat Transfer Enhancement Techniques in Different Enclosures

TL;DR: In this article , the use of magnetic fields, porous media, and nano-fluids in different heat transfer applications is discussed mainly in the solar thermal field and the mathematical equations used to model this type of flow are summarized.
References
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Journal ArticleDOI

Convective Transport in Nanofluids

TL;DR: In this article, the authors considered seven slip mechanisms that can produce a relative velocity between the nanoparticles and the base fluid and concluded that only Brownian diffusion and thermophoresis are important slip mechanisms in nanofluids.
Journal ArticleDOI

Boundary-layer flow of a nanofluid past a stretching sheet

TL;DR: In this article, a similarity solution is presented which depends on the Prandtl number Pr, Lewis number Le, Brownian motion number Nb and thermophoresis number Nt.
Journal ArticleDOI

Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study

TL;DR: In this paper, the authors used variational finite element method (FEM) with a local non-similar transformation to solve the non-linear governing equations with associated boundary conditions.
Journal ArticleDOI

Viscous flow and heat transfer over a nonlinearly stretching sheet

TL;DR: This paper presents a numerical analysis for flow and heat transfer in a viscous fluid over a nonlinear stretching sheet by employing a novel numerical procedure that converts governing partial differential equations into highly nonlinear ordinary differential equations by a similarity transformation.
Journal ArticleDOI

Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary

TL;DR: In this paper, a second grade fluid in a porous half-space with a heated flat plate was investigated and exact solutions of the velocity and temperature fields were obtained using Fourier sine transforms.
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