MHD Marangoni boundary layer flow and heat transfer of pseudo-plastic nanofluids over a porous medium with a modified model

Abstract

We present a research for the MHD Marangoni boundary layer flow and heat transfer in pseudo-plastic power law nanofluids over a porous medium driven by temperature gradient. A variable magnetic field is considered. Four different types of nanoparticles, copper, aluminum oxide, copper oxide, and titanium oxide are considered with pseudo-plastic power-law carboxy methyl cellulose (CMC)-water used as base fluids. A generalized Fourier law proposed by Zheng for varying thermal conductivity of nanofluids is taken into account, and the surface tension is assumed a quadratic function of the temperature. The governing partial differential equations (PDEs) are formulated, and similarity solutions are obtained numerically using shooting technique combined with Runge-Kutta iteration program and Newton's scheme. The effects of various physical parameters on horizontal velocity component and temperature curves are discussed and graphically illustrated in details.

Particle shape and radiation effects on Marangoni boundary layer flow and heat transfer of copper-water nanofluid driven by an exponential temperature

“…1. Unlike most studies on Marangoni boundary layer [16][17][18][19][21][22][23], the temperature distribution on the liquid-liquid or liquid-gas interface is closer to the realistic situation by assuming that it is an exponential function with X. Unlike the Boussineq effect in buoyancy-induced flow, Marangoni effect acts as a boundary condition on the governing equations for the flow.…”

“…An appropriate variational form and the continuous finite element scheme are applied to solve the complex problem. In the latest, Lin and coworkers [21][22][23] considered effects of thermal radiation, porous medium and magnetic field on Marangoni boundary layer flow and heat transfer of non-Newtonian pseudo-plastic nanofluids with Pop's or Zheng's thermal conductivity model. A list of some important references in the literature concerning on Marangoni boundary layer flow and heat mass transfer can be found in Refs.…”

Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility

“…Imai et al [4] developed a numerical analysis of Marangoni convective nanoscale flow. Prominent behavior of the thermal transfer rate in the Marangoni boundary flow of pseudoplastic nanoliquids filling a porous medium is given by Lin et al [5]. Some relevant studies about Marangoni convective flow are highlighted in refs.…”

Marangoni convective nanofluid flow over an electromagnetic actuator in the presence of first‐order chemical reaction

“…The Marangoni boundary layer formulation is thus dependent on liquid‐to‐liquid interface that can encounter in the nanofluids due to the temperature and concentration gradients. Lin et al investigated the Marangoni convective nanoliquid flow phenomena in a surface‐driven boundary layer flow via thermal gradient by varying magnetic number. Surface tension was taken as a nonlinear function of temperature and concentration.…”