Department of Mathematics, Osmania University, Hyderabad, Telangana, 500007, India.
Department of Mathematics, Basic Sciences and Humanities, Mohan Babu University, Sree Sainath Nagar, Tirupati, A.P, 517102, India.
Sci Rep. 2023 Jun 19;13(1):9889. doi: 10.1038/s41598-023-36836-4.
A mathematical analysis is communicated to the thermal radiation and heat absorption effects on 3D MHD Williamson nanoliquid (NFs) motion via stretching sheet. The convective heat and mass boundary conditions are taken in sheet when liquid is motion. As a novelty, the effects of thermal radiation, heat absorption and heat and mass convection are incorporated. The aim is to develop heat transfer. Williamson NFs are most important source of heat absorption, it having many significant applications in "energy generation, HT, aircraft, missiles, electronic cooling systems, gas turbines" etc. The suitable similarity transformations have been utilized for reduce basic governing P.D. E's into coupled nonlinear system of O.D. E's. Obtained O.D. Es are calculated by help of R-K-F ("Runge-Kutta-Fehlberg")4th order procedure with shooting technique in MATLAB programming. We noticed that, the skin friction coefficient is more effective in Williamson liquid motion when compared with NFs motion with higher numerical values of stretching ratio parameter, Williamson liquid motion is high when compared to NFs motion for large values of magnetic field. We compared with present results into previous results for various conditions. Finally, in the present result is good invention of previous results.
一种数学分析被传达给 3D MHD Williamson 纳米流体（NFs）通过拉伸片的运动的热辐射和热吸收效应。当液体运动时，在片上采用对流传热和传质边界条件。新颖之处在于，考虑了热辐射、热吸收和热质对流的影响。目的是发展传热。Williamson NFs 是热吸收的最重要来源，它在“能源发电、高温、飞机、导弹、电子冷却系统、燃气轮机”等方面有许多重要的应用。合适的相似变换已被用于将基本控制 P.D.E 减少到耦合的非线性 O.D.E 系统。在 MATLAB 编程中，使用 R-K-F（“龙格-库塔-费尔伯格”）4 阶程序和拍摄技术计算得到的 O.D.E。我们注意到，与 NFs 运动相比，在更大的拉伸比参数数值下，Williamson 液体运动的摩擦系数对 Williamson 液体运动更有效，当磁场较大时，Williamson 液体运动的数值较高。我们比较了各种条件下的当前结果和以前的结果。最后，在目前的结果是一个很好的发明以前的结果。
