Abstract
The present study deliberates the nanofluid flow containing multi and single-walled carbon nanotubes submerged into Ethylene glycol in a Darcy–Forchheimer permeable media over a stretching cylinder with multiple slips. The innovation of the envisaged mathematical model is enriched by considering the impacts of non-uniform source/sink and modified Fourier law in the energy equation and autocatalytic chemical reaction in the concentration equation. Entropy optimization analysis of the mathematical model is also performed in the present problem. Pertinent transformations procedure is implemented for the conversion of the non-linear system to the ordinary differential equations. The succor of the Shooting technique combined with the bvp4c MATLAB software is utilized for the solution of a highly nonlinear system of equations. The impacts of the leading parameters versus engaged fields are inspected through graphical sketches. The outcomes show that a strong magnetic field strengthens the temperature profile and decays the velocity profile. Also, the fluid velocity is lessened for growing estimates of the parameter of slip. Additionally, it is detected that entropy number augmented for higher thermal relaxation parameter and Reynolds number. To substantiate the existing mathematical model, a comparison table is also added. An excellent correlation is achieved here.
Highlights
Tw Temperature on wall S, t Slip parameters Shx Sherwood number ρNF Density of nanofluid F Base fluid (u, w) Components of velocities νF Kinematic viscosity CNT Carbon nanotubes I Thermal slip factor kF Thermal conductivity Be Bejan number SG′′′ Entropy generation rate L1 Diffusion rate of homogenous reaction K Strength of homogenous reaction δ Heat absorption parameter Fr Inertial coefficient Ks Strength of heterogeneous reaction τw Shear stress k1 Chemical reaction parameter Sc Schmidt number Re Reynold number S Velocity slip parameter Porosity parameter m Dimension less constant S0′′′ Characteristic entropy generation
The nanofluid flow containing CNTs with Cattaneo–Christov heat flux (C–C) heat flux in a stratified media over a rotating channel is discussed by Ramzan et al.[4]
The results indicate that for higher nanoparticle volume fraction, the skin friction coefficient components are enhanced
Summary
Tw Temperature on wall S, t Slip parameters Shx Sherwood number ρNF Density of nanofluid F Base fluid (u, w) Components of velocities νF Kinematic viscosity CNT Carbon nanotubes I Thermal slip factor kF Thermal conductivity Be Bejan number SG′′′ Entropy generation rate L1 Diffusion rate of homogenous reaction K Strength of homogenous reaction δ Heat absorption parameter Fr Inertial coefficient Ks Strength of heterogeneous reaction τw Shear stress k1 Chemical reaction parameter Sc Schmidt number Re Reynold number S Velocity slip parameter Porosity parameter m Dimension less constant S0′′′ Characteristic entropy generation. Sozen et al.[6,7,8] examine the performance of nanoliquid in a heat exchanger plate numerically and experimentally It is used Tio-deionized and deionized water nanoliquid for greater heat transfer rate. Maskeen et al.[22] introduced the enhancement of heat transfer rate of hybrid nanofluid flow in copper-alumina with water as a base fluid past over a stretching cylinder. It is observed the different effects of thermal radiation by employing Roseland’s flux model. It is observed that for hybrid nanoliquid rate of heat transfer is high as compared to nanoliquid It discussed the thermal and velocity slip effects.
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