Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions

Khan, M. Riaz; Elkotb, Mohamed Abdelghany; Matoog, R. T.; Alshehri, Nawal A.; Abdelmohimen, Mostafa A.H.

doi:10.1016/j.csite.2021.101594

Cited by 31 publications

(16 citation statements)

References 35 publications

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“…Zhao et al [25] determined the entropy optimization including heat and mass transport in tangent hyperbolic stagnation flow of a nanofluid associated with magnetic field and heat generation/absorption. Some recent studies regarding the convective flow and heat generation/absorption phenomenon may be found in [26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

et al. 2021

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The suspension of tiny solid particles inside the energy transport liquids could enhance their thermal conductivity as well as provide an efficient and inventive approach to significantly improve their properties of heat transport. Therefore, our aim is to explore the radiative two-dimensional unsteady flow of a viscous nanofluid about an aligned magnetic field that includes the joint effect of suction, velocity slip, and heat source across a porous convective stretching/shrinking surface. Initially, using non-dimensional variables, the nonlinear governing partial differential equations (PDEs) were transformed into ordinary differential equations (ODEs) which were subsequently solved with the help of bvp4c built-in package in MATLAB. The results declare that escalating the values of the unsteadiness parameter escalates the friction drag whereas it reduces with the escalation of the slip parameter. Furthermore, the heat transfer rate escalates with the escalation of radiation and concentration parameter, and the escalation of the heat source parameter causes to reduce the heat transfer rate. Finally, it is found that the rate of heat transfer and friction drag continuously improve and decline against the rising rates of stretching, respectively.

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Section: Introductionmentioning

confidence: 99%

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

et al. 2021

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“…In view of the Equations (11)(12)(13), the combination of Equation (20) with Equations ( 21) and ( 22) sets out the dimensionless system Equation ( 23) of the said physical quantities.…”

Section: Basic Equationsmentioning

confidence: 99%

“…The importance of the porous medium deeply attracted the interest of leading researchers to study it with the consideration of different models and flow structures. Some of these studies have been cited here [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of magnetohydrodynamics radiative flow of Oldroyd‐B nanofluid toward a porous stretched surface containing gyrotactic microorganisms

Khan

Mao

2022

Z Angew Math Mech

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In this article, we explore an incompressible steady flow of Oldroyd‐B nanofluid near a plan porous stretched surface considering the influence of thermophoresis, Brownian motion, and thermal radiation. Moreover, the constant magnetic field of intensity B0 is implemented with a low Reynolds number as well as the induced magnetic effect and the electric fields are ignored. The suitable similarity variables are applied to the governing partial differential equations (PDEs) which yield the dimensionless ordinary differential equations (ODEs). The MATLAB function bvp4c has been used to resolve the resulting ODEs. The attributes of various flow parameters on the transfer rate of mass, heat, density number of motile microorganisms, motile density, temperature, velocity, and nanoparticles concentration have been explored. It is determined that the boosting values of Prandtl number, solutal stratified, and the radiation parameter supports the boosting of heat transfer rate, and their reduction is assisted by the boosting values of thermal stratified and Brownian motion parameter. Moreover, the higher values of Brownian motion parameters and Schmidt number are more effective in the boosting of Sherwood number, although an opposite behavior is spotted for the boosting values of the thermophoresis and solutal stratified parameter. In the same way, the fluid velocity declines with the escalation of Deborah numbers, Hartmann number, and porosity parameter as well as the fluid temperature minimizes for the inclination of Prandtl number and thermal stratified parameter although it is magnified for the inclination of radiation parameter.

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“…Nayak et al [25] used entangled motile gyrotactic micro-creatures to examine the flow of Casson nanoliquids utilizing chemical processes in order to better understand their behavior. Several researchers, including Khan et al [26], have investigated the possibility of a dual solution in the evolution of Casson fluid flows across a Stretching/Shrinking sheet.…”

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confidence: 99%

Unsteady Flow and Heat Transfer of a Casson Micropolar Nanofluid over a Curved Stretching/Shrinking Surface

Sadiq¹,

Abbas²,

Amjad³

2023

Fluid Dynamics &Amp; Materials Processing

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We present the results of an investigation into the behavior of the unsteady flow of a Casson Micropolar nanofluid over a shrinking/stretching curved surface, together with a heat transfer analysis of the same problem. The body force acting perpendicular to the surface wall is in charge of regulating the fluid flow rate. Curvilinear coordinates are used to account for the considered curved geometry and a set of balance equations for mass, momentum, energy and concentration is obtained accordingly. These are turned into ordinary differential equations using a similarity transformation. We show that these equations have dual solutions for a number of different combinations of various parameters. The stability of such solutions is investigated by applying perturbations on the steady states. It is found that high values of the Micropolar and Casson parameters cause the flow to move more slowly. However, when compared to a shrunken surface, a stretched surface produces a greater Micro-rotation flux.

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Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions

Cited by 31 publications

References 35 publications

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

Numerical solution of magnetohydrodynamics radiative flow of Oldroyd‐B nanofluid toward a porous stretched surface containing gyrotactic microorganisms

Unsteady Flow and Heat Transfer of a Casson Micropolar Nanofluid over a Curved Stretching/Shrinking Surface

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