A numerical study of micropolar flow inside a lid-driven triangular enclosure

Ali, Nasir; Nazeer, Mubbashar; Javed, Tariq; Abbas, Fazal

doi:10.1007/s11012-018-0884-5

Cited by 32 publications

(19 citation statements)

References 40 publications

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“…The system of nonlinear equations (41) (after the adjustment of boundary conditions) can be solved by using the Newton method. The Newton method [26][27][28][29][30][31][32] is used in the following form:…”

Section: Pseudo-spectral Collocation Methodsmentioning

confidence: 99%

Analytical Study on Couple Stress Fluid in an inclined Channel

et al. 2021

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Numerical and analytical solutions of Stokes theory of couple stress fluid under the effects of constant, space, and variable viscosity in the inclined channel are discussed here. The considered couple stress fluid is described mathematically with the definition of the stress tensor. The dimensional form of the boundary value problem is transformed into dimensionless form by defining dimensionless quantities and then solved with help of the perturbation technique. The analytical expressions of velocity and temperature of all cases based on the viscosity of the couple stress fluid are presented. For the validity of the perturbation solution, the Pseudo-Spectral collocation method is employed for each case of the viscosity model including constant, space, and Vogel's models, respectively. The solution of the perturbation method and Pseudo-Spectral methods are shown together in the graphs. The effects of couple stress parameters on velocity and temperature distributions are also elaborated with physical reasoning in the results and discussion part. It is observed that velocity and temperature of fluid escalate via the pressure gradient parameter and Brinkman number while decelerating via couple stress parameter.

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Section: Pseudo-spectral Collocation Methodsmentioning

confidence: 99%

Analytical Study on Couple Stress Fluid in an inclined Channel

et al. 2021

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“…In pseudospectral, we discretised the derivative operators with Chebyshev or Jacobi orthogonal polynomials. The nonlinearity is handled with help of Newton method [40][41][42][43][44][45][46][47][48][49][50][51] and discrete Jacobian, i.e. finite difference approximation of Jacobian.…”

Section: Comparison Between Numerical and Perturbation Solutionsmentioning

confidence: 99%

Numerical and perturbation solutions of third-grade fluid in a porous channel: Boundary and thermal slip effects

et al. 2020

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The steady flow of a third-grade fluid due to pressure gradient is considered between parallel plane walls which are kept at different temperatures. The space between the plane walls is assumed to be a porous medium of constant permeability. The viscosity of the fluid is taken as constant as well as a function of temperature. It is further assumed that the fluid may slip at the wall surfaces. The consequence of this assumption results in non-linear boundary conditions at the plane walls. The temperature field is also supposed to satisfy thermal slip condition at the walls. The governing equations are modelled under these assumptions and the approximate solution is obtained using the perturbation theory. The skin friction coefficient is a decreasing function of slip parameters in the case of temperature-dependent viscosity models while no variation is noted for the case of constant viscosity via boundary slip parameter. The heat transfer rate increases with the boundary slip parameter and decreases with the thermal slip parameter. The validity of the approximated solution is checked by calculating the numerical solution as well. The absolute error is calculated and listed in tabular form in the case of constant and temperature-dependent viscosity via boundary and thermal slip parameters. The influence of various emerging parameters on flow velocity and temperature profile is discussed through graphs.

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“…Idris et al [11] simulated the fluid flow inside a shallow semi-ellipse lid-driven cavity. Recently, numerical investigations of mixed convection of fluid flow inside a lid-driven square cavity with arc-shaped moving wall [12], micropolar fluid in a lid-driven triangular cavity [13,14], and micropolar fluid in a right angle triangular cavity [15,16] have been done. Their results indicate that the wall movement is one of the factors affecting the flow and heat transfer inside the cavity.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis and explore of asymmetrical fluid flow in a two-sided lid-driven cavity

Azzouz¹,

Houat²

2020

JMES

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The two-dimensional asymmetrical flow in a two-sided lid-driven square cavity is numerically analyzed by the finite volume method (FVM). The top and bottom walls slide in parallel and antiparallel motions with various velocity ratio (UT/Ub=λ) where |λ|=2, 4, 8, and 10. In this study, the Reynolds number Re1 = 200, 400, 800 and 1000 is applied for the upper side and Re2 = 100 constant on the lower side. The numerical results are presented in terms of streamlines, vorticity contours and velocity profiles. These results reveal the effect of varying the velocity ratio and consequently the Reynolds ratio on the flow behaviour and fluid characteristics inside the cavity. Unlike conventional symmetrical driven flows, asymmetrical flow patterns and velocity distributions distinct the bulk of the cavity with the rising Reynolds ratio. For λ>2, in addition to the main vortex, the parallel motion of the walls induces two secondary vortices near the bottom cavity corners. however, the antiparallel motion generates two secondary vortices on the bottom right corner. The parallel flow proves affected considerably compared to the antiparallel flow.

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A numerical study of micropolar flow inside a lid-driven triangular enclosure

Cited by 32 publications

References 40 publications

Analytical Study on Couple Stress Fluid in an inclined Channel

Analytical Study on Couple Stress Fluid in an inclined Channel

Numerical and perturbation solutions of third-grade fluid in a porous channel: Boundary and thermal slip effects

Numerical analysis and explore of asymmetrical fluid flow in a two-sided lid-driven cavity

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