Abstract

Heat transfer systems for chemical processes must be designed to be as efficient as possible. As heat transfer is such an energy-intensive stage in many chemical processes, failing to focus on efficiency can push up costs unnecessarily. Many problems involving heat transfer in the presence of a chemically reactive species in the domain of the physical sciences are still unsolved because of their complex mathematical formulations. The same is the case for heat transfer in chemically reactive magnetized Tangent hyperbolic liquids equipped above the permeable domain. Therefore, in this work, a classical remedy for such types of problems is offered by performing Lie symmetry analysis. In particular, non-Newtonian Tangent hyperbolic fluid is considered in three different physical frames, namely, (i) chemically reactive and non-reactive fluids, (ii) magnetized and non-magnetized fluids, and (iii) porous and non-porous media. Heat generation, heat absorption, velocity, and temperature slips are further considered to strengthen the problem statement. A mathematical model is constructed for the flow regime, and by using Lie symmetry analysis, an invariant group of transformations is constructed. The order of flow equations is dropped down by symmetry transformations and later solved by a shooting algorithm. Interesting physical quantities on porous surfaces are critically debated. It is believed that the problem analysis carried out in this work will help researchers to extend such ideas to other unsolved problems in the field of heat-transfer fluid science.

Highlights

  • The study of heat transfer in fluids has a wide range of applications in various disciplines, such as stream generators, die temperature control, concrete heating, distillation, extrusion, hot mix paving, printing and laminating, to name only a few

  • Researchers from several fields, namely, biology, meteorology, geophysics, astrophysics, oceanography, civil engineering, mechanical engineering, biomedical engineering and chemical engineering, have prioritized the computational analysis of both Newtonian and non-Newtonian fluid flows by means of heating surfaces in different configurations with heat transfer aspects—such as Sarma and Rao [1], who investigated an incompressible viscoelastic fluid over a semi-infinite stretching sheet in the presence of power-law surface heat flux/temperature, taking into account the impacts of viscous dissipation as well as internal heat generation or absorption

  • A numerical solution is offered for Tangent hyperbolic fluid flow over permeable thermally magnetized surfaces with chemical reaction aspects

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Summary

Introduction

The study of heat transfer in fluids has a wide range of applications in various disciplines, such as stream generators, die temperature control, concrete heating, distillation, extrusion, hot mix paving, printing and laminating, to name only a few. The flow and heat transport of a viscoelastic fluid over a non-isothermal stretching sheet was investigated by Abel et al [5]. The results of numerically solving the governing partial differential equations using the finite element approach were compared to those obtained using the quasi-linearization scheme. The mass and heat fluxes for fluid flow by means of the Energies 2021, 14, 8530 exponentially stretched surface were examined by Sanjayanand and Khan [9]. Salem [10] investigated a heated viscoelastic fluid across a continually stretched surface with a magnetic field effect. We observed that heat transfer in Tangent hyperbolic fluid flow subject to a porous surface in the presence of chemically reactive species has not been examined on a wide scale due to the acquisition of a coupled non-linear differential model. We believe that the present findings will help readers to gain important information on utilizing Lie symmetry analysis in unsolved fluid flow problems and on the mechanics of non-Newtonian fluid flows over porous thermally magnetized stretched surfaces

Mathematical Formulation
Numerical Scheme
Analysis
Concluding Remarks
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