A Galerkin strategy for tri-hybridized mixture in ethylene glycol comprising variable diffusion and thermal conductivity using non-Fourier’s theory

Author:

Wang Fuzhang12,Nazir Umar3,Sohail Muhammad3,El-Zahar Essam R.45,Park Choonkil6,Thounthong Phatiphat7

Affiliation:

1. Department of Mathematics, Nanchang Institute of Technology , Nanchang 330044 , China

2. College of Mathematics and Statistics, Xuzhou University of Technology , 221018 Xuzhou , China

3. Department of Applied Mathematics and Statistics, Institute of Space Technology , P.O. Box 2750 , Islamabad 44000 , Pakistan

4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University , P.O. Box 83 , Al-Kharj 11942 , Saudi Arabia

5. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University , Shebin El-Kom 32511 , Egypt

6. Research Institute for Natural Sciences, Hanyang University , Seoul 04763 , Republic of Korea

7. Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok , 1518 Pracharat 1 Road , Bangsue , Bangkok 10800 , Thailand

Abstract

Abstract This research is conducted to investigate heat and mass transport past over a stretched surface having pores in a pseudo-plastic model. To study porosity effect, Darcy Forchheimer relation is used. Thermal and mass transport expressions are derived by engaging the double diffusion theories as extensively used by researchers proposed by Cattaneo and Christov. Furthermore, the thermal performance is studied by mixing the tri-hybrid nanoparticles in a pseudo-plastic material. The phenomenon of boundary layer is used to derive the complex model. The correlation for tri-hybrid nanoparticles is used to convert the model partial differential equations into ordinary differential equations (ODE) along with appropriate similarity transformation. The transfigured ODEs are coupled nonlinear in nature, and the exact solution is not possible. To approximate the solution numerically, finite element scheme (FES) is used and code is developed in MAPLE 18.0 for the graphical results, grid independent survey, and tabular results. The obtained results are compared with the published findings that confirm the accuracy and authenticity of the solution and engaged scheme. From the performed analysis, it is concluded that FES can be applied to complex engineering problems. Furthermore, it is monitored that nanoparticles are essential to boost the thermal performance and higher estimation of Schmidt number control the mass diffusion.

Publisher

Walter de Gruyter GmbH

Subject

Surfaces, Coatings and Films,Process Chemistry and Technology,Energy Engineering and Power Technology,Biomaterials,Medicine (miscellaneous),Biotechnology

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