Swain B K, Parida B C, Kar S, Senapati N
Department of Mathematics, IGIT, Sarang, Dhenkanal, Odisha 759146, India.
Department of Mathematics, Utkal University, BBSR, Odish 751004, India.
Heliyon. 2020 Oct 27;6(10):e05338. doi: 10.1016/j.heliyon.2020.e05338. eCollection 2020 Oct.
An analysis is made to illustrate the MagnetoHydroDynamics (MHD) flow and gradient heat transport of a Newtonian fluid over a stretching sheet embedded in a porous matrix. The governing nonlinear partial differential equations are reconstituted as ordinary differential equations utilizing suitable similarity transformation and then treated numerically using 4 order Runge-Kutta method along with shooting technique and analytically by Homotopy Perturbation Method. The verification of present study with earlier works serves as the benchmark of reliability of the present study. The important outcomes of this study are: porous parameter ( ) acts as aiding force i.e when is increased from 0.1 to 10 gradually there is a significant growth in velocity and after that rate of increment gets slowdown, greater Eckert number and joule heating parameter cause a rise in temperature as well as enhance the thermal boundary thickness. Consequently rate of heat transfer diminishes as thickness leads to low heat transfer coefficient. The applications of this study are shown in: multiple heating devices and industrial processes such as incandescent light bulb's filament emitting light, food processing and polymer processing etc.
进行了一项分析，以说明嵌入多孔介质中的拉伸片上牛顿流体的磁流体动力学（MHD）流动和梯度热传递。利用合适的相似变换将控制非线性偏微分方程重构为常微分方程，然后采用四阶龙格 - 库塔方法结合打靶技术进行数值处理，并通过同伦摄动法进行解析处理。将本研究与早期工作进行验证，作为本研究可靠性的基准。本研究的重要结果是：多孔参数（ ）起到辅助力的作用，即当 从0.1逐渐增加到10时，速度有显著增长，之后增长速率减缓；更大的埃克特数和焦耳热参数会导致温度升高，并增加热边界层厚度。因此，随着厚度导致传热系数降低，热传递速率会减小。本研究的应用体现在：多种加热设备以及工业过程中，如白炽灯泡灯丝发光、食品加工和聚合物加工等。
