Mixed convection in gravity-driven thin nano-liquid film flow with homogeneous–heterogeneous reactions

Abstract

A modified nanofluid model for homogeneous–heterogeneous reactions in a gravity-driven liquid film is proposed based on the assumptions of the homogeneous reaction governed by isothermal cubic autocatalytic kinetics and the heterogeneous reaction given by first-order kinetics. The Buongiorno model is introduced to describe behaviors of nanofluids with the Boussinesq approximation being used for simplification of the buoyancy term. Multiple solutions are captured, whose stabilities are checked and discussed based on the theory of Sturm–Liouville. The influence of various physical parameters on important physical quantities is presented for different cases, including buoyancy assisting, no buoyancy, and buoyancy opposing. Different from previous studies on chemical reactions in which reactants are presumed in nanometer scale, we assume that the chemical species are of regular size, which react with each other in a nanofluid. This configuration makes our model physically more realistic than previous ones.

Bioconvection Casson nanoliquid film sprayed on a stretching cylinder in the portfolio of homogeneous‐heterogeneous chemical reactions

“…is the Eckert number, 𝜖 = Assuming that the diffusion coefficients (D 𝑅 1 and D 𝑅 2 ) are of equal size that is, k 6 = 1 [26][27][28], therefore…”

“…Homogeneous-heterogeneous chemical reactions take place in a wide range of industrial manufacturing like in biomedical invention, metal abstraction from naturally discovered ores, food processing, paint manufacturing and combustion. Ahmed and Xu [27] proposed a modified Buongiorno nanofluid model for homogeneous-heterogeneous chemical reactions based on the assumption that homogeneous reaction is governed by isothermal cubic autocatalytic kinetics and the heterogeneous chemical reaction is processed through first-order kinetics. Gul et al [28] deliberated the homogeneousheterogeneous in ethylene glycol based nanofluid flow through a Darcy-Forchheimer porous medium past a stretching cylinder with multiple slip effects.…”

An Application of Homotopy Perturbation Method to Fractional-Order Thin Film Flow of the Johnson–Segalman Fluid Model

“…Ruan et al studied thin film from a distributed source on a vertical wall in [12]. Ahmad and Xu proposed an improved nanofluid model in thin film under the action of gravity in [13].…”

Multiple slips impact in the MHD hybrid nanofluid flow with Cattaneo–Christov heat flux and autocatalytic chemical reaction

“…The numerical solution is obtained by utilizing the bvp4c function of the MATLAB software. More studies highlighting the role of HOM–HET reactions are appended at 48 – 51 .…”