Unsteady nano-bioconvective channel flow with effect of nth order chemical reaction

Md Faisal Md Basir,Kohilavani Naganthran,Swati Mukhopadhyay,Ilyas Khan,Zaffar Mehmood,Roslinda Nazar,Anuar Jamaludin,Dumitru Baleanu,Ehtsham Azhar,Kottakkaran Sooppy Nisar

doi:10.1515/phys-2020-0156

Abstract

Abstract Nanofluid bioconvective channel flow is an essential aspect of the recent healthcare industry applications, such as biomedical processing systems. Thus, the present work examined the influence of nth order chemical reaction in an unsteady nanofluid bioconvective channel flow in a horizontal microchannel with expanding/contracting walls. The suitable form of the similarity transformation is exercised to transform the governing boundary layer equations into a more straightforward form of system to ease the computation process. The Runge–Kutta method of fifth-order integration technique solved the reduced boundary layer system and generated the numerical results as the governing parameters vary. It is found that the destructive second-order chemical reaction enhances the mass transfer rate at the lower wall but deteriorates the mass transfer rate at the upper wall. The upper channel wall has a better heat transfer rate than the lower wall when the Reynolds number increases.

Highlights

Nanofluids find applications in many fields of science and engineering that require heat transfer fluids [1,2]
As no data are found to compare for this specific problem, we have compared the values of f ′′, θ′, φ′ for some specific values of the parameters obtained by two methods and found an excellent agreement (Table 1)
The main difference between this work and previous is the inclusion of nth order chemical reaction

Summary

Introduction

Nanofluids find applications in many fields of science and engineering that require heat transfer fluids [1,2]. Nanofluid is the composition of subatomic particles in the base fluid, with a dimension of order 10−9, which plays a remarkable role in improving the thermal conductivity and convective heat transfer [5]. Due to its vast applications, several researchers, such as Ahmed et al [31], Darvishi et al [32], Javanmard et al [33], Mosayebidorcheh [34] and Odelu and Kumar [35], considered many multi-physical effects on the channel flow between the extending/contracting walls With this regard, in the present work, we expanded the analysis of a study conducted by Xinhui et al [36] and Bég et al [30] in that we take into consideration the nth order chemical reaction. To the best of the authors’ knowledge, all presented results on the present model are novel

Mathematical model

Numerical solution and validation

Results and discussion

Conclusions and future direction