Newtonian heat and mass conditions impact in thermally radiated Maxwell nanofluid Darcy–Forchheimer flow with heat generation

Abstract

Purpose This paper aims to elaborate the characteristics of magneto-Maxwell nanoliquid toward moving radiated surface. Flow analysis subject to Darcy–Forchheimer concept is studied. Newtonian heat/mass conditions and heat source aspects are taken into account for modeling. Apposite transformations are introduced for non-dimensionalization process. Design/methodology/approach Optimal homotopy analysis method is implemented to compute convergent solutions of nonlinear ordinary differential equations. Findings Temperature field increments when thermophoresis, heat generation and Brownian movement parameters are increased, whereas reverse situation is noticed for larger Prandtl number. The results also witness that concentration distribution has opposite characteristics for larger thermophoresis and Brownian movement parameters. Furthermore, the presented analysis reduces to traditional Darcy relation in the absence of local inertia coefficient. Originality/value As per the authors’ knowledge, no such analysis has been yet reported.

Doubly stratified non-Newtonian nanofluid flow featuring nonlinear convection

“…Here, homotopic algorithm (Liao, 2003;Hayat et al, 2014;Hayat et al, 2016b;Waqas et al, 2019c;Waqas et al, 2019d) is used to compute nonlinear equations ( 7)-( 9) subjected to equations ( 10) and ( 11). HAM comprises h f ; h u and h f , which are effective in regulating and adjusting the convergent region regarding homotopic expressions.…”

“…Partial systems are reduced to ordinary ones via suitable variables. Convergent solutions are achieved using HAM (Liao, 2003;Hayat et al, 2014;Hayat et al, 2016b;Waqas et al, 2019c;Waqas et al, 2019d). The upshots of sundry factors are demonstrated and addressed in detail.…”

Duality and stability of MHD Darcy–Forchheimer porous medium flow of rotating nanofluid on a linear shrinking/stretching sheet: Buongiorno model

“…Effects of Darcy–Forchheimer with Arrhenius activation energy on nanofluids have been reported by Ullah et al (2020). Furthermore, some important works on this subject were studied by Nagoor et al (2020), Lewis and Schrefler (1998), Asma et al (2019), Reddy et al (2020), Ghafouri and Lewis (1996), Naqvi et al (2019), El-Hakiem and Rashad (2007), Waqas et al (2019) and Lewis et al (2004).…”