Abstract
This paper studies the magnetohydrodynamic (MHD) thermosolutal Marangoni convection heat and mass transfer of power-law fluids driven by a power law temperature and a power law concentration which is assumed that the surface tension varies linearly with both the temperature and concentration. Heat and mass transfer constitutive equation is proposed based on N-diffusion proposed by Philip and the abnormal convection-diffusion model proposed by Pascal in which we assume that the heat diffusion depends non-linearly on both the temperature and the temperature gradient and the mass diffusion depends non-linearly on both the concentration and the concentration gradient with modified Fourier heat conduction for power law fluid. The governing equations are reduced to nonlinear ordinary differential equations by using suitable similarity transformations. Approximate analytical solution is obtained using homotopy analytical method (HAM). The transport characteristics of velocity, temperature and concentration fields are analyzed in detail.
Highlights
Marangoni flow is induced by surface tension variations along liquid-liquid or liquid-gas interfaces, is of great importance in microgravity science and space processing.[1,2,3] According to the different origin, Marangoni effect is divided into the thermal effect of Marangoni (EMT) and the solute Marangoni effect (EMS).[4,5] The EMT is mainly caused by the disequilibrium of the surface heat, and the EMS is mainly caused by the imbalance of surface adsorption system.[6]
This paper studies the magnetohydrodynamic (MHD) thermosolutal Marangoni convection heat and mass transfer of power-law fluids driven by a power law temperature and a power law concentration which is assumed that the surface tension varies linearly with both the temperature and concentration
Heat and mass transfer constitutive equation is proposed based on N-diffusion proposed by Philip and the abnormal convection-diffusion model proposed by Pascal in which we assume that the heat diffusion depends non-linearly on both the temperature and the temperature gradient and the mass diffusion depends non-linearly on both the concentration and the concentration gradient with modified Fourier heat conduction for power law fluid
Summary
Marangoni flow is induced by surface tension variations along liquid-liquid or liquid-gas interfaces, is of great importance in microgravity science and space processing.[1,2,3] According to the different origin, Marangoni effect is divided into the thermal effect of Marangoni (EMT) and the solute Marangoni effect (EMS).[4,5] The EMT is mainly caused by the disequilibrium of the surface heat, and the EMS is mainly caused by the imbalance of surface adsorption system.[6]. Zhang[8,9] investigated a steady dissipative layer, which is generated by Marangoni convection flow over the surface resulted from an imposed temperature gradient, coupled with buoyancy effects due to gravity and external pressure. Lin et al.[16] presented an investigation for MHD thermocapillary Marangoni convection heat transfer of an electrically conducting power-law fluid driven by temperature gradient. Zheng et al.[19,20] proposed a new heat transfer model by assuming that the temperature field is similar to the velocity field, the effects of power-law viscosity on heat conductivity are analyzed. Zheng et al.[20] and Lin et al.[24,25] studied the heat and mass transfer of steady laminar Marangoni convection driven by surface tension gradient using numerical method. The effects of the power law index, the temperature power law index, the marangoni number, the Hartmann number, and the thermosolutal surface tension ratio on the velocity and the temperature fields are graphically illustrated and analyzed
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
