Numerical study of flow and heat transfer in a porous medium between two stretchable disks using quasi-linearization method

Akhter, Shaheen; Ashraf, Muhammad

doi:10.2298/tsci180801163a

Cited by 4 publications

(4 citation statements)

References 16 publications

(15 reference statements)

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“…The Jalili et al 13 results showed that The average error between HAN method and HPM, for radial velocity is 3.1%, for axial velocity is 0.69%. Akhter et al 15 improved the studies that applied by Jalili et al 13 and Agarwal 14 with considering the porous medium for fluid flow. Hayat et al 16 used Jeffrey nanofluid between two rotating stretchable disks.…”

Section: Introductionmentioning

confidence: 99%

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Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Ahmadi Azar,

Jalili,

Jalili

et al. 2023

Sci Rep

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The purpose of this theoretical study is to explore the behavior of an electrically conducting micropolar fluid when subjected to a uniform magnetic field along the vertical axis between two stretching disks as the structure of the problem changes. In this context, structural changes refer to alterations in the distance between the two discs or the stretching rate of the two discs. The governing equations of this problem are a set of nonlinear coupled partial differential equations, which are transformed into a nonlinear coupled ordinary differential equation set by a similarity transformation. The transformation results in four dimensionless quantities and their derivatives that appear in the equations. Nine dimensionless parameters are derived via similarity variables, including stretching Reynolds number, magnetic parameter, radiation parameter, Prandtl number, Eckert number, Schmidt number, and three micropolar parameters. Previous similarity solutions focused on analyzing the effect of changes in each parameter on the four dimensionless quantities. However, this type of analysis is mainly mathematical and does not provide practical results. This study’s primary novelty is to redefine the magnetic parameter, Eckert number, stretching Reynolds number, and two micropolar parameters to analyze physical parameters that depend on the stretching rate of the two discs or the distance between them. The semi-analytical hybrid analytical and numerical method (HAN-method) is used to solve the equations. The results demonstrate that structural changes affect all five quantities of radial velocity, axial velocity, microrotation, temperature, and concentration. The study’s most significant finding is that an increase in the stretching rate of the two disks causes a sharp increase in temperature and Nusselt number. Conversely, increasing the distance between the two disks causes a sharp decrease in micro-rotation and wall couple stress. They were compared to a previous study in a specific case to validate the results’ accuracy.

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Section: Introductionmentioning

confidence: 99%

“…Hayat et al 16 used Jeffrey nanofluid between two rotating stretchable disks. Compared to previous studies 1 – 15 , this innovation was the simultaneous rotation and expansion of two disks and the use of Jeffrey’s non-Newtonian nano-fluid.…”

Section: Introductionmentioning

confidence: 99%

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Ahmadi Azar,

Jalili,

Jalili

et al. 2023

Sci Rep

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“…Moreover, wall shear stress and angular velocity gradient at the wall enhance with an enlargement in the material parameter as illustrated by Mandal and Mukhopadhyay [4]. Furthermore, the flow of MHD and heat transfer due to stretching rotating disk were examined by Mustafa [5] and Akhter et al [6].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Convection Flow of Micropolar Nanofluid due to a Rotating Disk with Multiple Slip Flow

Zemedu

Ibrahim

2020

Mathematical Problems in Engineering

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In this analysis, steady, laminar, and two-dimensional boundary layer flow of nonlinear convection micropolar nanofluid due to a rotating disk is considered. The mathematical formulation for the flow problem has been made. By means of appropriate similarity transformation and dimensionless variables, the governing nonlinear boundary value problems were reduced into coupled high-order nonlinear ordinary differential equations with numerically solved. The equations were calculated using method bvp4c from matlab software for various quantities of main parameters. The influences of different parameters on skin friction coefficients f″0 and G′0, wall duo stress coefficients H1′0, -H2′0, and -H3′0, the Nusselt number -θ′0, and Sherwood number Ω′0, as well as the velocities, temperature, and concentration are analysed and discussed through tables and plotted graphs. The findings indicate that an increase in the values of thermal and solutal nonlinear convection parameters allow to increase the value of velocities f′η and Gη near surface of the disk and reduce at far away from the disk as well as thermal and solutal Grashof numbers tolerate to increase in the value of radial velocity f′η near surface of the disk.

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“…Turkyilmazoglu [10] found the exact solution of micropolar fluid within the existence of the MHD effect. The MHD flow of micropolar fluids with a porous medium had been considered by many researchers, such as Sheikh et al [11], Akhter et al [12], Siddiq et al [13], Dero et al [14], Hayat et al [15,16], Ahmed et al [17], and Waqas et al [18].…”

Section: Introductionmentioning

confidence: 99%

Triple Local Similarity Solutions of Darcy-Forchheimer Magnetohydrodynamic (MHD) Flow of Micropolar Nanofluid Over an Exponential Shrinking Surface: Stability Analysis

et al. 2019

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In this paper, the MHD flow of a micropolar nanofluid on an exponential sheet in an Extended-Darcy-Forchheimer porous medium have been considered. Buongiorno’s model is considered in order to formulate a mathematical model with different boundary conditions. The governing partial differential equations (PDEs) of the nanofluid flow are changed into a third order non-linear quasi-ordinary differential equation (ODE), using the pseudo-similarity variable. The resultant ODEs of the boundary value problems (BVPs) are renewed into initial value problems (IVPs) using a shooting method, and then the IVPs are solved by a fourth order Runge-Kutta (RK) method. The effects of various physical parameters on the profiles of velocity, temperature, microrotation velocity, concentration, skin friction, couple stress coefficients, heat, and concentration transfer are demonstrated graphically. The results reveal that triple solutions appear when S ≥ 2.0337 for K = 0.1 and S ≥ 2.7148 for K = 0.2 . A stability analysis has been performed to show the stability of the solutions; only the first solution is stable and physically possible, whereas the remaining two solutions are not stable.

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Numerical study of flow and heat transfer in a porous medium between two stretchable disks using quasi-linearization method

Cited by 4 publications

References 16 publications

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Nonlinear Convection Flow of Micropolar Nanofluid due to a Rotating Disk with Multiple Slip Flow

Triple Local Similarity Solutions of Darcy-Forchheimer Magnetohydrodynamic (MHD) Flow of Micropolar Nanofluid Over an Exponential Shrinking Surface: Stability Analysis

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