Heat transfer analysis of viscous fluid flow between two coaxially rotated disks embedded in permeable media by capitalizing non-Fourier heat flux model

Majeed, Afraz Hussain; Bilal, S.; Mahmood, Rashid; Malik, M.Y.

doi:10.1016/j.physa.2019.123182

Cited by 33 publications

(12 citation statements)

References 18 publications

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“…So, most of the researchers utilize numerical schemes to report the findings, and the most generous methods are FDM, FEM, and FVM. Among these aforementioned numerical methodologies, the finite element scheme [20][21][22][23][24][25][26][27][28] is a versatile method because the modeling of complex and irregular shapes is easily handled by discretizing the available domain with finite elements. For the computations of velocity and temperature, we made use of the stable quadratic elements, while the pressure was approximated using the linear elements.…”

Section: Numerical Scheme and Solversmentioning

confidence: 99%

Finite element simulations of inclined magnetic field and mixed convection in an enclosure with periodically heated walls in the presence of an obstacle

Khan

Mahmood²,

Majeed³

et al. 2022

Front. Phys.

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The current manifestation is utilized to explicate the inspiration of combined convection flows in a cavity with a square cylinder placed at the center of the cavity having coordinates (0.5, 0.5). To be more specific, right- and left-sided vertical walls are kept cold, and the lower wall is to be heated in uniform and non-uniform manners, while the upper horizontal wall is moved with a constant velocity ULid and is thermally adiabatic. The obstacle is treated as cold as well as thermally adiabatic, and the no-slip velocity boundary conditions are specified at its surface. For the purpose of computing the velocity profile and temperature, a space including the quadratic polynomials (P2) is chosen; however, the pressure has been approximated using a linear ( P1 ) finite element space of functions. The Newton technique is used to perform the computations needed to solve the discrete systems of non-linear algebraic equations. The non-linear iterations are terminated at residual below 10–6, whereas the inner core linear solver is based on Gaussian elimination with special reordering of unknowns. To show the consistency of the implemented numerical technique, the parametric study is designed based on the most relevant non-dimensional parameters, namely, the Grashof number Gr ranging from 102 to 105, the Hartmann number Ha changing from 0 to 50, and the Reynolds number Re varying from 10 to 200. Computations in the forms of velocity streamlines and isotherm contour profiles are adorned. In addition, the production of temperature disparities is associated with an increase in Nuavg as Re increases. In contrast, a diminishing aptitude in kinetic energy is observed due to the creation of Lorentz forces.

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Section: Numerical Scheme and Solversmentioning

confidence: 99%

Finite element simulations of inclined magnetic field and mixed convection in an enclosure with periodically heated walls in the presence of an obstacle

Khan

Mahmood²,

Majeed³

et al. 2022

Front. Phys.

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“…Due to the interaction between vortices introduced on the cylinders, the phenomenon of shear layer transfer in these flow types provides quite different signatures (see refs. [1][2][3][4][5][6][7][8][9][10][11][12][13]).…”

Section: Introductionmentioning

confidence: 99%

Numerical Computation of MHD Thermal Flow of Cross Model over an Elliptic Cylinder: Reduction of Forces via Thickness Ratio

Majeed

Rasheed

Abbasi

et al. 2021

Mathematical Problems in Engineering

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The present work is concerned with a comprehensive analysis of hydrodynamic forces, under MHD and forced convection thermal flow over a heated cylinder in presence of insulated plates installed at walls. The magnetic field is imposed in the transverse direction of flow. The Galerkin finite element (GFE) scheme has been used to discretize the two-dimensional system of nonlinear partial different equations. The study is executed for the varying range of flow behavior index n from 0.4 to 1.6, Hartmann number Ha from 0 to 100, Reynolds number Re from 10 to 50, Grashof number Gr from 1 to 10, thickness ratio e from 0.5 to 1.0, and Prandtl number Pr from 1 to 10, respectively. A coarse hybrid computational grid is developed, and further refinement is carried out for obtaining the highly accurate solution. The optimum case selection is based on flow patterns, drag and lift coefficients, and pressure drop reduction against cylinder thickness ratios and average Nusselt numbers. Drag coefficient increases with an increase in thickness ratio e . The drag force reduction for e = 0.5 and e = 0.75 is also observed for a range of the power law index as compared with e = 1.0 cylinder. Maximum pressure drop over the back and front points of cylinder is reported at Ha = 100 .

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“…For instance, temperature control helps to ensure the product quality and consistent production capacity in the polymer extrusion process. It is due to this fact that the heat and mass transfer in the boundary layer flow of non-Newtonian fluid with diverse effects of parameters attracted scholars from all corners [2][3][4][5][6]. ese relevant parameters are used to control the heat and mass transfer during the extrusion process.…”

Section: Introductionmentioning

confidence: 99%

Micropolar Couple Stress Nanofluid Flow by Non-Fourier’s-Law Heat Flux Model past a Stretching Sheet

Gadisa

Takele

Jabessa

2021

Journal of Mathematics

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In this investigation, thermal radiation effect on MHD nonlinear convective micropolar couple stress nanofluid flow by non-Fourier’s-law heat flux model past a stretching sheet with the effects of diffusion-thermo, thermal-diffusion, and first-order chemical reaction rate is reported. The robust numerical method called the Galerkin finite element method is applied to solve the proposed fluid model. We applied grid-invariance test to approve the convergence of the series solution. The effect of the various pertinent variables on velocity, angular velocity, temperature, concentration, local skin friction, local wall couple stress, local Nusselt number, and local Sherwood number is analyzed in both graphical and tabular forms. The range of the major relevant parameters used for analysis of the present study was adopted from different existing literatures by taking into consideration the history of the parameters and is given by 0.07 ≤ Pr ≤ 7.0 , 0.0 ≤ λ , ε ≤ 1.0 , 0.0 ≤ R d , D f , S r , K , ≤ 1.5 , 0.0 ≤ γ E ≤ 0.9 , 0.9 ≤ S c ≤ 1.5 , 0.5 ≤ M ≤ 1.5 , 0.0 ≤ β ≤ 1.0 , 0 . 2 ≤ N b ≤ 0 . 4 , 0 . 1 ≤ N t ≤ 0 . 3 . The result obtained in this study is compared with that in the available literatures to confirm the validity of the present numerical method. Our result shows that the heat and mass transfer in the flow region of micropolar couple stress fluid can be enhanced by boosting the radiation parameters.

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Heat transfer analysis of viscous fluid flow between two coaxially rotated disks embedded in permeable media by capitalizing non-Fourier heat flux model

Cited by 33 publications

References 18 publications

Finite element simulations of inclined magnetic field and mixed convection in an enclosure with periodically heated walls in the presence of an obstacle

Finite element simulations of inclined magnetic field and mixed convection in an enclosure with periodically heated walls in the presence of an obstacle

Numerical Computation of MHD Thermal Flow of Cross Model over an Elliptic Cylinder: Reduction of Forces via Thickness Ratio

Micropolar Couple Stress Nanofluid Flow by Non-Fourier’s-Law Heat Flux Model past a Stretching Sheet

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