Abstract
Melting is a physical development that is associated with phase transition of materials (PCM). Melting thermal transport has fascinated researchers because of its immense usage in technological processes. In this paper, a non-similar mathematical model is established for melting aspects in the chemically reactive, radiative flow of magnetized nanofluid. The fluid flow over a vertically heated surface is triggered as a result of its linear stretching and by means of buoyancy forces. The considered setup deals with the melting thermal transport and velocity slip at the surface. The linear buoyancy in the framework of concentration and temperature is accounted for in the x-momentum equation. Frictional heating in view of viscous dissipation is convincing because of large surface velocity. An effective Buongiorno model is employed in the energy and concentration expressions with chemical reaction and magnetic and viscous dissipations. The dimensionless non-similar structure is numerically simulated by adopting local non-similarity via bvp4c. The repercussion of vital numbers on flow, entropy generation, and thermal and mass transport is discussed through graphs and tables. The graphical transport analysis suggests that the increase in buoyancy reduces the fluid flow; however, the implication of increasing velocity slip and magnetic and buoyancy ratio numbers is to enhance the fluid flow. Furthermore, the increasing radiative parameter increases the temperature in the thermal boundary layer. Concentration boundary layer analysis suggests that the impact of the increase in the Schmidt number increases the concentration and the increase in the chemical reaction decreases the concentration. The range of stable solutions for important numbers is obtained. Furthermore, the validity of results is demonstrated by comparing with the existing literature. Comparison between non-similar and local similar approximations has been made. It is finally accomplished that non-similar analysis, contrary to local similar models, is more generic and authentic in convection thermal transport analysis in the existence of buoyancy and viscous dissipation.
Highlights
In recent years, nanoparticle based industrial appliances have become adequately available because of high production as a result of low cost
An effective Buongiorno model is employed in the energy and concentration expressions with chemical reaction and magnetic and viscous dissipations
Concentration boundary layer analysis suggests that the impact of the increase in the Schmidt number increases the concentration and the increase in the chemical reaction decreases the concentration
Summary
Nanoparticle based industrial appliances have become adequately available because of high production as a result of low cost. Cheng and Lin considered the melting impact on convective thermal transport in a porous medium flow over a vertical surface. Song et al. simulated the Marangoni and solutal model for Sutterby nanofluid flow on top of an expanding cylinder with melting and variable thermal conditions. Non-similar analysis is carried out for the boundary layer flow of magnetized nanofluid subjected to thermal radiations, chemical reaction, and melting heat condition. Farooq et al. analyzed non-similarity boundary layer flow of nanofluid by adopting an analytical homotopy based approach. Farooq et al. adapted a local non-similarity approach for Darcy–Forchheimer–Brinkman flow of Casson fluid in a porous medium. Farooq et al. continued the study of Ref. 50 for the case of nanofluid flow using local non-similarity via bvp4c. The effects of the important dimensionless number on thermal transport and entropy optimization are discussed through graphs and tables
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