Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface

Li, Yi-Xia; Alshbool, Mohammed; Lv, Yu-Pei; Khan, İlyas; Khan, M. Riaz; Issakhov, Alibek

doi:10.1016/j.csite.2021.100975

Cited by 131 publications

(39 citation statements)

References 38 publications

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“…Suspension of Ag nanoparticles within the Casson based nanofluid displayed a higher rate of heat transfer compared to Cu nanoparticles. Many researchers studied other types of nanofluid flow problems to determine the effects of various physical parameters on boundary layer flows over shrinking/stretching sheets, as well as curved surfaces [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Three Dimensional MHD Hybrid Nanofluid Flow with Rotating Stretching/Shrinking Sheet and Joule Heating

Teh

Ashgar

2021

CFDL

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A three-dimensional hybrid nanofluid flow over a stretching/shrinking sheet is numerically studied. The hybrid nanofluid being considered in this study used water as the base fluid and mixed with two types of solid nanoparticles, namely alumina (Al2O3) and copper (Cu). The main focus of the current study is to examine the effect of magnetic field, Joule heating, and rotating sheet on the velocity, and temperature profiles. In addition, the impact of suction and stretching sheet on the variations of reduced skin friction, , and reduced heat transfer are studied as well. The fluid flow and heat transfer problem presented in this study is governed by a system of nonlinear partial differential equations (PDEs), which is then transformed into the corresponding system of high order nonlinear ordinary differential equations (ODEs) using similarity variables. The resulting system of higher order nonlinear ODEs is solved numerically using a boundary value solver known as bvp4c, which operates on the MATLAB computational platform. Results revealed that dual solutions exist for shrinking sheet while unique solutions are observed for stretching sheet with various values of Cu nanoparticles volume fraction and magnetic parameter. Dual solutions also exist for the value of the suction parameter greater than its critical point with various values of Cu nanoparticles volume fraction. Velocity profile of the hybrid nanofluid increases alongside with the value of magnetic parameter but declination was observed in the profile of and temperature, for both solutions as the value of Cu nanoparticles volume fraction increases. When the value of rotational parameter increases, both velocity and profiles increase for both solutions. This indicates that the momentum boundary layer thickness increases with increasing values of for both solutions, but thermal boundary layer thickness decreases for the first solution and increases for the second solution. Finally, an increment in the value of Eckert number causes the temperature of the hybrid nanofluid to rise as well for both first and second solutions.

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Section: Introductionmentioning

confidence: 99%

Three Dimensional MHD Hybrid Nanofluid Flow with Rotating Stretching/Shrinking Sheet and Joule Heating

Teh

Ashgar

2021

CFDL

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“…Heat sink and source provide support to the dumping technique of the radioactive discarding substances as well as exothermal chemical advancement, system of operating of moisture compartment, cooling system of graphic processors, as well as thermal omission of the nuclear fuel rubbish. The consequences of heat generation and absorption in the magnetized flow of a Williamson nanofluid was checked by Li et al [24] across a permeable exponential stretching surface. 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.…”

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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“…The formulation of mathematical models in epidemiology and engineering areas has proven his role to be important; see [1][2][3]. Many researchers in different pera e-mail: altafdir@gmail.com (corresponding author) spective studied the coronavirus infection.…”

Section: Introductionmentioning

confidence: 99%

A mathematical model for SARS-CoV-2 in variable-order fractional derivative

DarAssi

Safi

Khan

et al. 2022

Eur. Phys. J. Spec. Top.

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A new coronavirus mathematical with hospitalization is considered with the consideration of the real cases from March 06, 2021 till the end of April 30, 2021. The essential mathematical results for the model are presented. We show the model stability when in the absence of infection. We show that the system is stable locally asymptotically when at infection free state. We also show that the system is globally asymptotically stable in the disease absence when . Data have been used to fit accurately to the model and found the estimated basic reproduction number to be . Some graphical results for the effective parameters are drawn for the disease elimination. In addition, a variable-order model is introduced, and so as to handle the outbreak effectively and efficiently, a genetic algorithm is used to produce high-quality control. Numerical simulations clearly show that decision-makers may develop helpful and practical strategies to manage future waves by implementing optimum policies.

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Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface

Cited by 131 publications

References 38 publications

Three Dimensional MHD Hybrid Nanofluid Flow with Rotating Stretching/Shrinking Sheet and Joule Heating

Three Dimensional MHD Hybrid Nanofluid Flow with Rotating Stretching/Shrinking Sheet and Joule Heating

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

A mathematical model for SARS-CoV-2 in variable-order fractional derivative

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