Mondal Priyajit, Mahapatra T R, Parveen Rujda
Department of Mathematics, Visva-Bharati (A Central University), Santiniketan - 731 235, West-Bengal, India.
Heliyon. 2021 Mar 12;7(3):e06143. doi: 10.1016/j.heliyon.2021.e06143. eCollection 2021 Mar.
This work is concerned with the numerical study of laminar, steady MHD mixed convection flow, and entropy generation analysis of -water nanofluid flowing in a lid-driven trapezoidal enclosure. The aspect ratio of the cavity is taken very small. The cavity is differentially heated to study the fluid flow, heat, and mass transfer rate. The adiabatic upper wall of the enclosure is allowed to move with a constant velocity along the positive -direction. The second-order finite difference approximation is employed to discretize the governing partial differential equations, and a stream-function velocity formulation is used to solve the coupled non-linear partial differential equations numerically. The simulated results are plotted graphically through streamlines, isotherms, entropy generation, Nusselt number, and Sherwood number. The computations indicate that the average Nusselt number and average Sherwood number are decreasing functions of Hartmann number, aspect ratio, and nanoparticle volume fraction. Significant changes in streamlines, temperature and concentration contours for high Richardson number are observed.
本文致力于研究层流、稳态磁流体动力学混合对流流动的数值模拟，以及在顶盖驱动的梯形腔内流动的 -水纳米流体的熵产生分析。腔的纵横比非常小。对腔进行非均匀加热以研究流体流动、热量和质量传递速率。允许封闭腔的绝热上壁沿正 方向以恒定速度移动。采用二阶有限差分近似对控制偏微分方程进行离散化，并使用流函数速度公式对耦合的非线性偏微分方程进行数值求解。通过流线、等温线、熵产生、努塞尔数和舍伍德数对模拟结果进行图形绘制。计算结果表明，平均努塞尔数和平均舍伍德数是哈特曼数、纵横比和纳米颗粒体积分数的递减函数。观察到高理查森数下流线、温度和浓度等值线的显著变化。
