Magnetized Jeffrey nanofluid with energy loss in between an annular part of two micro non-concentric pipes

ABSTRACT

This paper investigates the features of applied magnetic field and entropy generation on Jeffrey nanofluid in between an annular part of two micro non-concentric pipes with the inner one being of rigid nature traveling with uniform speed. Research in nanofluid has gained much attention because of its influence on magnetic field imposed externally. Besides this, to improve the thermal conductivity, magnetic environment has also been introduced on nanofluids. They regulate the flow peculiarities as well as effect the external applied magnetic field. This contributes to the generation of magnetic nanoparticles containing drugs to the tumor portion of an organ. Moreover, the energy loss during the thermal mass transfer is a vital part of the procedure. This is related to entropy generation. In this paper, the combined effects of entropy and magnetic field are addressed. The flow pattern is first made dimensionless by using dimensionless quantities and later defined by lubrication approach. The analytical results have been evaluated and discussed with figures related to velocity profile, temperature distribution, entropy generation profile, Bejan number, Nusselt number, etc. It was observed that the magnetic field opposes the flow speed and rate of entropy generation but enhances the temperature of nanofluid. The current results are also validated through comparison with existing literature through a special case of proposed model.

KEYWORDS:

• Nanofluid
• heat and mass transfer
• magnetic field
• entropy generation
• Jeffrey model
• non-concentric pipes

Acknowledgments

Prof. S. M. Sadiq acknowledges King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia, for support.

Additional information

Notes on contributors

Arshad Riaz

Arshad Riaz has done his PhD Mathematics from International Islamic University Islamabad Pakistan in 2014. He has obtained gold medal in MS and Bronze medal in Bachelor degree. He has published several research articles on various fields of Mathematics in internationally high profile journals. He is currently working as an Assistant professor in University of Education Jauharabad Campus Pakistan. He is member of various academic bodies. He has supervised several research students. He is reviewer of many impact factor international journals. 

R. Ellahi

R. Ellahi is Fulbright Fellow of Universality of California Riverside and Chair Professor at KFUPM, Saudi Arabia. He is Ex founder Chairperson of the Department of Mathematics and Statistics at International Islamic University Islamabad. He received outstanding awards such as Fulbright Award by USA, National Best University Teacher Award by Higher Education Commission of Pakistan and Best Book Award etc.  He is editor of 20 international journals and is on review panels of more than 300+ International journals. He has published more than 250+ research articles in the journal of international repute. His work has been cited round 15,000+ times at Google Scholar having 68 h index. He has supervised 08 Phd students and 20 at MS level. He has carried out 03 sponsored research projects through HEC under NRPU and USEFP funding. He is the author of 06 books. He has been contentiously honored with annual Research Productivity Award based on his excellent scientific achievements by Ministry of Science and Technology since 2009. The PCST honer him Productive Scientist of Pakistan Award in “Category A” for the year 2015, 2016 and 2017.  His name has been included in the list of Highly cited researcher by Clarivate Analytics for the years 2018 and 2019. He has established international collaboration with more than 70+ prominent scientists of his field. He is actively involved in different academia bodies at national and International levels.

Sadiq M Sait

Sadiq M. Sait obtained his Bachelor’s degree in Electronics Engineering from Bangalore University in 1981, and Master’s and Ph.D. degrees in Electrical Engineering from KFUPM in 1983 and 1987, respectively. In 1981 Sait received the best Electronic Engineer award from the Indian Institute of Electrical Engineers, Bangalore (where he was born). Sait has authored over 200 research papers, contributed chapters to technical books, and lectured in over 25 countries. Sadiq M. Sait is also the principle author of two books. He is currently Professor of Computer Engineering and the Director of the Center for Communications and IT Research of KFUPM.

Taseer Muhammad

Taseer Muhammad is working as Assistant Professor in the Department of Mathematics, King Khalid University, Abha, Saudi Arabia. His areas of interest include Fluid Mechanics, Series and Numerical Solutions of ODEs and PDEs and Applied Mathematics.