Lie group analysis of upper convected Maxwell fluid flow along stretching surface
| Autor: | Chaudry Masood Khalique, Anum Shafiq |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Heat generation/absorption Differential equation 020209 energy General Engineering 02 engineering and technology Mechanics Upper convected Maxwell model Engineering (General). Civil engineering (General) 01 natural sciences Lie group analysis 010305 fluids & plasmas Runge–Kutta methods Flow (mathematics) Heat generation Ordinary differential equation 0103 physical sciences Heat transfer 0202 electrical engineering electronic engineering information engineering Fluid dynamics Astrophysics::Solar and Stellar Astrophysics Boundary value problem TA1-2040 Inclined MHD |
| Zdroj: | Alexandria Engineering Journal, Vol 59, Iss 4, Pp 2533-2541 (2020) |
| ISSN: | 1110-0168 |
| DOI: | 10.1016/j.aej.2020.04.017 |
| Popis: | In this article, significance of inclined magnetohydrodynamic flow of an upper-convected Maxwell (UCM) liquid along a penetrable stretched plate is explored. Heat transfer phenomenon is studied with heat generation and absorption effect. We utilize Lie group methodology for adaptation of non-linear differential equations and calculate its absolute invariants explicitly. A numerical method, namely the fourth-order Runge Kutta algorithm with shooting technique is used to solve non-linear ordinary differential equations along with boundary conditions. Velocity profiles for flow of Newtonian and UCM liquid are compared. Plots reflecting effect of inclined and non-inclined MHD for the variations of various parameters are explored and examined. It is observed that oposite behaviour occurs corresponding to heat absorption and generation parameter for both cases of inclination and non-inclination MHD. |
| Databáze: | OpenAIRE |
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