2018 12th International Conference on Mathematics, Actuarial Science, Computer Science and Statistics (MACS) 978-1-7281-0415-7/18/$31.00 ©2018 IEEE Optimized Numerical Investigation of Heat And Mass Transfer in Porous Media Azeem Khan ADP Taylor’s University Selangor, Malaysia azeem@taylors.edu.my Mamoona Humayun Jouf University Al-Jouf, Saudi Arabia mahumayun@ju.edu.sa NZ Jhanjhi SoCIT Taylor’s University Selangor, Malaysia noorzaman.jhanjhi@taylors.edu.my Abstract: The solid placed in a porous medium is termed as conjugate, their study on heat transfer phenomenon in porous medium, has acquired much focus by numerous researchers [1-8] recently, due to the vast range of its applications in several areas of Engineering such as, Bio Instrumentation, Mechatronics and Bio Medical Engineering etc. This phenomenon is studied by applying a set of partial differential equations which are nonlinear and coupled in nature hence can’t be solved directly; thus a numerical method called finite element method is used to solve them, which in turn generates a group of algebraic equations put together in the form of a matrix and are solved by using an algorithm with a tight convergence criteria. The current research is aimed to discuss an optimized algorithm based on numerical investigation to solve these equations, and compared with the conventional algorithm. Research results shows significant improvements with proposed algorithm, which outperforms efficiently for any complex solid geometry compared to conventional algorithm, while conventional can only perform better for simple solid geometry. Key words Heat Transfer, Finite Element Method, Porous Media, Optimization, Partial Differential Equations I. INTRODUCTION The development of fast and efficient optimization algorithms[9, 10] have become inevitable in almost every single department of life, which has led to the incredible emphasis on increased awareness and creative ideas in developing the optimization techniques. This trend has profound effects, in particular, on research and innovation as well as solution techniques adopted for solving various scientific and industrial problems in the area of computer science as evident from the open literature. Furthermore, in engineering the optimization[11] techniques have become customary and often indispensable especially in actively pursued research area. However with the rapid advancement in computer science and information technology, it has become comparatively, easily achievable task. Therefore it comes as no surprise, as the emergence of interdisciplinary research collaborations are considered as the most effective tools in research and innovation fields, such as; bio instrumentation engineering, mechatronics engineering, bio medical engineering and so on. In a similar trend there is a need to develop optimized yet efficient and faster algorithms to investigate the various issues in heat transfer study. To accomplish this need of efficient and optimized[12] algorithmic tools in view, which could be more helpful in obtaining the solutions to the non-linear partial differential equations with acceptable accuracy in minimum time. In particular the conjugate heat transfer phenomenon, which has more complicated equations to handle, require the best possible solution technique that can execute with high efficiency and minimal computation time to achieve a desirable accuracy. II. BACKGROUND The emergence of computational technological advancement has played a very crucial role in understanding and solving many of the unsolved mathematical problems, helping us to understand the complex physical phenomenon which otherwise could have been left unanswered. In porous medium, conjugate heat transfer is one of the phenomenon whose understanding was improved after the arrival of computer and advancement of computational methods.