Analysis of Hugging Flow Through the Powerful Technique of Homotopy Asymptotic Method (HAM)

Abstract

A hugging flow occurs when a fluid is hugged between two undistinguishable plates fronting one another. To this end, the hugging flow between two disks in drive of unstable nature is of immense importance for its technical and scientific uses such as, molding of fluids, the study of fluid machinery such as pumps, fans, blowers, windmills, air compressors, heat exchangers, jet & rocket engines, gas turbines, power plants, pollution control equipments, air-conditioning equipments, heating & ventilation systems, breathing aids, heat-lungs machines, among others makes fluid mechanics of massive importance to Mechanical Engineers. Similarly, expansion and contraction in blood flow, piston motion, brakes, and in cooling towers among others. The aim of this research is to investigate Newtonian fluid between two porous time-varying plates in hugging flow. The impact variable, magnetic field is taken into account. The treatment of obtained system of equations is done by HAM (Homotopy Asymptotic Method). After a comparative analysis between The results obtained through HAM and Numerical methods showed a great agreement of harmony. Variation in the flow fields is presented with the help of figures. The residual errors for fluid flow fields are calculated and shown with the help of table. All the computational work has been done with the help of computer software Mathematica Software.