Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

被引:473
作者
Chu, Yu-Ming [1 ,2 ]
Nazir, Umar [3 ]
Sohail, Muhammad [3 ]
Selim, Mahmoud M. [4 ,5 ]
Lee, Jung-Rye [6 ]
机构
[1] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[3] Inst Space Technol, Dept Appl Math & Stat, POB 2750, Islamabad 44000, Pakistan
[4] Prince Sattam Bin Abdulaziz Univ, Dept Math, Al Aflaj Coll Sci & Humanities Studies, Al Aflaj 71011912, Saudi Arabia
[5] Suez Univ, Suez Fac Sci, Dept Math, Suez 34891, Egypt
[6] Daejin Univ, Dept Data Sci, Pocheon Si 11159, South Korea
关键词
mathematical modeling; ordinary and partial differential equations; parametric investigation; finite element technique; grid independent investigation; thermal enhancement; POWELL-EYRING FLUID; SHAPE FACTOR; FLOW; SIO2/H2O; MOS2;
D O I
10.3390/fractalfract5030119
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers due to their wide applications. This report discusses the flow of Powell-Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory. Afterwards, similarity transformation has been applied to convert PDEs into associated ODEs. These transformed ODEs have been solved the using finite element procedure (FEP) in the symbolic computational package MAPLE 18.0. The applicability and effectiveness of FEM are presented by addressing grid independent analysis. The reliability of FEM is presented by computing the surface drag force and heat transportation coefficient. The used methodology is highly effective and it can be easily implemented in MAPLE 18.0 for other highly nonlinear problems. It is observed that the thermal profile varies directly with the magnetic parameter, and the opposite trend is recorded for the Prandtl number.
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页数:17
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