arXiv subjects

V. Ambethkar

Publications and source records attributed to V. Ambethkar.

3 recordsLinked to original sources

arXiv2017

Numerical Simulations of 2-D Steady Free Convective flow with Heat and Mass Transfer in an Inclined Rectangular Domain

In this paper, we have used the QUICK scheme of the finite volume method to investigate the problem of steady 2-D free convective incompressible flow with heat and mass transfer in an inclined rectangular domain at different Rayleigh numbers in the range of $10^4 \le Ra \le 10^6$, for Prandtl number $Pr=7.2$, and Lewis number $Le=1$. We have used no-slip wall boundary conditions for the components of velocity and Neumann boundary conditions for temperature and concentration. We have used the QUICK scheme to discretize the governing equations along with the boundary conditions chosen in the present problem. The SIMPLE algorithm is adopted to compute the numerical solutions of flow variables, $U$-velocity, $V$-velocity, pressure, temperature, and concentration as well as the local and average Nusselt and Sherwood numbers at different Rayleigh numbers in the range mentioned above. Our numerical solutions for $U$-velocity along the vertical line through the geometric center has been compared with benchmark solutions available in the literature for $λ=15^{\circ},\, Ra=10^4,\, Pr=7.2$, and $Le=1$ and it has been found that it is in the good agreement. Pressure increases with increasing the angles of inclination. When the angles of inclination increase from $λ=15^{\circ}$ to $λ=45^{\circ}$, the intensity of streamlines decreases near the center and secondary cells are formed at the top and bottom of the center of the domain. As the Rayleigh number is increased from $10^4$ to $10^6$, the average Nusselt number is decreased for $λ=15^{\circ}$, and decreases and then increases for $λ=45^{\circ}$, whereas, the average Sherwood number increases for $λ=15^{\circ}$ and decreases for $λ=45^{\circ}$.

physics.flu-dyn↗

arXiv2017

Numerical solutions of an unsteady 2-D incompressible flow with heat and mass transfer at low, moderate, and high Reynolds numbers

In this paper, we have proposed a modified Marker-And-Cell (MAC) method to investigate the problem of an unsteady 2-D incompressible flow with heat and mass transfer at low, moderate, and high Reynolds numbers with no-slip and slip boundary conditions. We have used this method to solve the governing equations along with the boundary conditions and thereby to compute the flow variables, viz. $u$-velocity, $v$-velocity, $P$, $T$, and $C$. We have used the staggered grid approach of this method to discretize the governing equations of the problem. A modified MAC algorithm was proposed and used to compute the numerical solutions of the flow variables for Reynolds numbers $Re = 10$, 500, and 50,000 in consonance with low, moderate, and high Reynolds numbers. We have also used appropriate Prandtl $(Pr)$ and Schmidt $(Sc)$ numbers in consistence with relevancy of the physical problem considered. We have executed this modified MAC algorithm with the aid of a computer program developed and run in C compiler. We have also computed numerical solutions of local Nusselt $(Nu)$ and Sherwood $(Sh)$ numbers along the horizontal line through the geometric center at low, moderate, and high Reynolds numbers for fixed $Pr = 6.62$ and $Sc = 340$ for two grid systems at time $t = 0.0001s$. Our numerical solutions for u and v velocities along the vertical and horizontal line through the geometric center of the square cavity for $Re = 100$ has been compared with benchmark solutions available in the literature and it has been found that they are in good agreement. The present numerical results indicate that, as we move along the horizontal line through the geometric center of the domain, we observed that, the heat and mass transfer decreases up to the geometric center. It, then, increases symmetrically.

physics.comp-ph↗

arXiv2017

Numerical simulations of fluid flow and heat transfer in a four-sided, lid-driven rectangular domain

Numerical simulations for 2-D unsteady, incompressible flow with heat transfer in a four-sided lid-driven rectangular domain are reported in the present study. For the four-sided lid-driven rectangular domain, the lower wall is moved to the left, the upper wall is moved to the right, while the right wall is moved upwards and the left wall is moved downwards. All four walls move with equal speed. Different constant temperatures are applied to the left and right moving walls, and thermal insulation is applied to the upper and bottom moving walls. The governing equations are discretized using the QUICK scheme of finite volume methods. The SIMPLE algorithm is adopted to compute the numerical solutions of the flow variables, $u$-velocity, $v$-velocity, $P$, and $θ$ as well as local and average Nusselt numbers for $50 \le Re \le 1500$ and $Pr=6.63$. Due to the force generated by moving fluid, the direction of moving walls and the Reynolds number affect fluid flow in the rectangular domain in addition, at different Reynolds numbers along the cold wall of the domain, the variation in average and local Nusselt numbers reveals that overall heat transfer increases isotherms showed that as Reynolds numbers increase, the horizontal temperature gradient near the vertical walls decreases, because of which heat transfer decreases.decreases.

physics.flu-dyn↗