Induced MHD impact on exponentially varying viscosity of Williamson fluid flow with variable conductivity and diffusivity

Salahuddin, T.; Khan, Mair; Saeed, Tareq; Ibrahim, Muhammad; Chu, Yu‐Ming

doi:10.1016/j.csite.2021.100895

Cited by 45 publications

(23 citation statements)

References 38 publications

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“…From a physical point of view, the buoyancy force acts on the curved surface and stimulates the movement of the particle near the surface; due to this effect, the velocity field augments, and the thermal state declines. An interesting phenomenon is shown in Figure 14b wherein a variation in from (0,1) pressure profile decreases and increases from (1,5). Figure 14a-c depict the significant impact of the buoyancy parameter δ on the given velocity field, pressure profile, and thermal distribution.…”

Section: Results Analysismentioning

confidence: 89%

“…Figure 13c depicts the effect of the permeability parameter on the pressure profile. The pressure profile increases from (0,1) and decreases from (1,5) for greater values of permeability parameter. Figure 14a-c depict the significant impact of the buoyancy parameter on the given velocity field, pressure profile, and thermal distribution.…”

Section: Results Analysismentioning

confidence: 95%

“…Nadeem et al [4] investigated the flow of Williamson-type nanofluid determined by stretching sheet by presenting a new form of governing equations. Salahuddin et al [5] analyzed the Induced MHD impact on exponentially varying viscosity of Williamson fluid flow with variable conductivity and diffusivity. Ibrahim [6] used the Williamson model to tackle the MHD flow over a stretchable cylinder using the porous medium.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Ahmed

Khan

Akbar

et al. 2021

Fluids

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The present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal source-sink, and Joules heating is considered. The governing problems are obtained using the Navier–Stokes theory, and the appropriate similarity transformation is applied to write the partial differential equations in the form of single-variable differential equations. The solutions are obtained by using a MATLAB-based built-in bvp4c package. The vital aspect of this analysis is to observe the effects of the curvature parameter, magnetic number, suction/injection parameter, permeability parameter, Prandtl factor, Eckert factor, non-linear radiation parameter, buoyancy parameter, temperature ratio parameter, Williamson fluid parameter, and thermal conductivity (variable) parameter on the velocity field, thermal distribution, and pressure profile which are discussed in detail using a graphical approach. The correlation with the literature reveals a satisfactory improvement in the existing results on permeability factors in Williamson fluids.

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Section: Results Analysismentioning

confidence: 89%

Section: Results Analysismentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Ahmed

Khan

Akbar

et al. 2021

Fluids

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“…The variability in plastic dynamic viscosity, coefficient of heat diffusivity, coefficient of mass diffusivity, and the magnetic field is assumed, respectively 30

\begin{matrix} left left \\ μ (T) = μ_{0} e^{(- m_{1} (T - T_{0}))} & κ (T) = κ_{0} [1 + m_{2} (T - T_{0})], \\ D (c) = D_{0} [1 + m_{3} (C - C_{0})] & B (x) = B_{0} {(1 + α t)}^{\frac{1}{2}} . \end{matrix}

…”

Section: Mathematical Modelmentioning

confidence: 99%

Heat and mass transfer in an unsteady squeezed Casson fluid flow with novel thermophysical properties: Analytical and numerical solution

Obalalu

2021

Heat Trans

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This study investigates the heat and mass transfer in an unsteady squeezing flow between parallel plates under the influence of novel variable diffusivity. In most of the literature, it is believed that the thermophysical properties of the fluid are unchanged. However, this present study bridges this gap by assuming that viscosity, conductivity, and diffusivity are all temperature‐dependent. Physically, an appropriate analysis of thermophysical variables in such a system is required to achieve the best performance for effective heat and mass transfer processes. The equations controlled were first nondimensional and then simplified by a similarity transformation to ordinary nonlinear differential equations. The present study provides a fast convergent method on finite parallel plates, namely, the optimal homotopy analysis method (OHAM) and spectral collocation method (SCM) are used to analyze the fluid flow, heat, and mass transport. The graphical and table understanding is given via an error table and flow behavior of physical parameters. The result reveals that the SCM is more accurate than OHAM. However, the method employed in this paper offers excellent convergence solutions with good accuracy. The solution convergence is also discussed. In this type of problem, squeeze numbers play an important role and the rise in the squeezing parameter increases the fluid temperature.

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“…Kumar et al (10) deliberated contemplate the progression of insecure free convection and move of mass going through an endless vertical permeable plate with a synthetic response by considering pull boundary and gooey dissemination if the plate moves in its plane. The theme of nonlinear radiation and blended convection of the MHD warmth and mass exchange of Maxwell nano liquid stream in permeable media with Arrhenius dynamic response is inspected by Salawu et al (11) Salahuddin et al (12) initiated MHD sway on dramatically differing consistency of Williamson liquid stream with variable conductivity and diffusivity. Expects to consider the impact of Heat source on an MHD Casson liquid through a vertical fluctuating permeable plate by Goud et al (13) Makinde et al (14) scrutinized unconfined convection stream through thermal radioactivity and mass conversion past a moving erect permeable platter.…”

Section: Introductionmentioning

confidence: 99%

Effects of Thermal Radiation on Temperature and Concentration on MHD Free Convection Flow Past a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Source Parameter

Appidi¹,

Malga²,

Matta³

et al. 2021

IJST

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Objective: To study the effects of chemical reaction and heat source parameter on MHD Free Convection Flow Past a Vertical Porous Plate. Method: The problem is represented by coupled non-direct fractional differential conditions. The non-dimensional conditions of the issue have been tackled mathematically utilizing the Finite-Element strategy. Findings: The effects of governing parameters such as chemical reaction, heat source, permeability, radiation and many others are discussed quantitatively with the help of graphs in these flow fields like velocity, temperature, concentration with the help of skin friction, Nusselt number and Sherwood number. Novelty: The accurateness of the solution to the problem was verified by comparing it with the published previously. The compatibility between the results was found to be high. To strengthen the validity of the numerical results were presented in this work.

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Induced MHD impact on exponentially varying viscosity of Williamson fluid flow with variable conductivity and diffusivity

Cited by 45 publications

References 38 publications

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Heat and mass transfer in an unsteady squeezed Casson fluid flow with novel thermophysical properties: Analytical and numerical solution

Effects of Thermal Radiation on Temperature and Concentration on MHD Free Convection Flow Past a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Source Parameter

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