Three-Dimensional Magnetohydrodynamics Slip Flow of Nanofluids Over a Slendering Stretching Sheet with Heat Source or Sink Effects

2021 ◽  
Vol 10 (3) ◽  
pp. 380-387
Author(s):  
R. Jayakar ◽  
B. Rushi Kumar
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Heat Source ◽  
Boundary Layers ◽  
Source Parameters ◽  
Slip Flow ◽  
Three Dimensional ◽  
Current Approach ◽  
Slip Effects ◽  
Nano Fluids

Aim: The research carried out in this article is based on experimenting with a 3-D MHD nanofluid flow on a sheet as slendering stretch bearing the slip effects, thermophoresis, Brownian Motion, heat source, and sink. Water-based Cuo and Cu nano-fluids were considered for the analysis. Following the suitable techniques of similarity transformation, the partial differential equations also called the governing equations are deduced into ODE (Ordinary Differential Equations). The mathematical results were estimated by applying the Methods of Newton and Runge-Kutta. The calculations along with the graphs for different parameters were also explained. Novelty: The outcomes of novel effective graphs for different parameters of interest are shown and explained. It has been found that heat-sink/source parameters depending on the temperature and space serve as heat transfer parameters. Slip effects minimize the thermal boundary layers as well as concentration development. It is discovered that CuO-Water, as well as Cu-Water nanofluids, have homogeneous boundary layers (concentration, thermal and momentum),and as contrasted with the CuO-Water nanofluids, the mass, and the heat transfer rate is higher in Cu-Water nanofluids. The paper concludes by comparing the outcomes of the current approach with findings that already existed.

scholarly journals MHD stagnation point slip flow due to a non-linearly moving surface with effect of non-uniform heat source

2019 ◽  
Vol 8 (1) ◽  
pp. 270-282 ◽  
Author(s):  
Mahantesh M. Nandeppanavar ◽  
M. C. Kemparaju ◽  
S. Shakunthala
Keyword(s):  
Differential Equations ◽  
Heat Source ◽  
Stagnation Point ◽  
Source Parameters ◽  
Slip Flow ◽  
Mhd Flow ◽  
Moving Plate ◽  
Similarity Transformations ◽  
Uniform Heat ◽  
Source Sink

Abstract In this paper, we have studied the heat transfer characteristics of stagnation point flow of an MHD flow over a non-linearly moving plate with momentum and thermal slip effects in presence of non-uniform heat source/sink. The governing differential equations are transformed into the ordinary differential equations using suitable similarity transformations. These equations which are BVPs’ and are solved using a numerically by fourth order Runge-Kutta method using MAPLE computing software. The effects of governing parameters are studied on flow, velocity and heat distributions and are discussed in detail. It is observed that the non-uniform heat source parameters enhance the temperature distribution. Our results are agreed well with previously published results for some limiting conditions, which validate our present results are correct.

Effect of Variable Heat Source/Sink on Chemically Reacting 3D Slip Flow Caused by a Slendering Stretching Sheet

2016 ◽  
Vol 25 ◽  
pp. 58-69 ◽  
Author(s):  
Macharla Jayachandra Babu ◽  
Naramgari Sandeep
Keyword(s):  
Heat Source ◽  
Stretching Sheet ◽  
Slip Flow ◽  
Three Dimensional ◽  
Skin Friction Coefficient ◽  
Temperature Dependent ◽  
Transfer Rates ◽  
Slip Effects ◽  
Chemically Reacting ◽  
Source Sink

Three-dimensional magnetohydromagnetic slip flow of chemically reacting fluid over a variable thickness stretching sheet with space and temperature dependent heat source/sink was analysed numerically. Runge-Kutta and Newton’s methods are employed for solving the reduced ordinary differential equations with the help of similarity variables. Plots are demonstrated and examined for several parameters of concern. Also the effect of the same parameters on skin friction coefficient, heat and mass transfer rates are presented in tabular form. We found a good agreement of the present results by comparing with the published results. It is observed that space and temperature dependent heat source/sink parameters acts like controlling parameters of heat transfer. Slip effects reduce the development of concentration and thermal boundary layers.

scholarly journals Parametric analysis of the heat transfer behavior of the nano-particle ionic-liquid flow between concentric cylinders

2021 ◽  
Vol 13 (6) ◽  
pp. 168781402110240
Author(s):  
Rehan Ali Shah ◽  
Hidayat Ullah ◽  
Muhammad Sohail Khan ◽  
Aamir Khan
Keyword(s):  
Heat Transfer ◽  
Ionic Liquid ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Heat Source ◽  
Ordinary Differential Equations ◽  
Heat Transfer Rate ◽  
Transfer Rate ◽  
Volume Fraction ◽  
Concentric Cylinders

This paper investigates the enhanced viscous behavior and heat transfer phenomenon of an unsteady two di-mensional, incompressible ionic-nano-liquid squeezing flow between two infinite parallel concentric cylinders. To analyze heat transfer ability, three different type nanoparticles such as Copper, Aluminum [Formula: see text], and Titanium oxide [Formula: see text] of volume fraction ranging from 0.1 to 0.7 nm, are added to the ionic liquid in turns. The Brinkman model of viscosity and Maxwell-Garnets model of thermal conductivity for nano particles are adopted. Further, Heat source [Formula: see text], is applied between the concentric cylinders. The physical phenomenon is transformed into a system of partial differential equations by modified Navier-Stokes equation, Poisson equation, Nernst-Plank equation, and energy equation. The system of nonlinear partial differential equations, is converted to a system of coupled ordinary differential equations by opting suitable transformations. Solution of the system of coupled ordinary differential equations is carried out by parametric continuation (PC) and BVP4c matlab based numerical methods. Effects of squeeze number ( S), volume fraction [Formula: see text], Prandtle number (Pr), Schmidt number [Formula: see text], and heat source [Formula: see text] on nano-ionicliquid flow, ions concentration distribution, heat transfer rate and other physical quantities of interest are tabulated, graphed, and discussed. It is found that [Formula: see text] and Cu as nanosolid, show almost the same enhancement in heat transfer rate for Pr = 0.2, 0.4, 0.6.

MHD and nonlinear thermal radiation effects on hybrid nanofluid past a wedge with heat source and entropy generation

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Fazle Mabood ◽  
Anum Shafiq ◽  
Waqar Ahmed Khan ◽  
Irfan Anjum Badruddin
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Heat Source ◽  
Thermal Radiation ◽  
Entropy Generation ◽  
Entropy Generation Rate ◽  
Design Parameters ◽  
Hybrid Nanofluid ◽  
Nonlinear Thermal Radiation ◽  
Content Type

Purpose This study aims to investigate the irreversibility associated with the Fe3O4–Co/kerosene hybrid-nanofluid past a wedge with nonlinear radiation and heat source. Design/methodology/approach This study reports the numerical analysis of the hybrid nanofluid model under the implications of the heat source and magnetic field over a static and moving wedge with slips. The second law of thermodynamics is applied with nonlinear thermal radiation. The system that comprises differential equations of partial derivatives is remodeled into the system of differential equations via similarity transformations and then solved through the Runge–Kutta–Fehlberg with shooting technique. The physical parameters, which emerges from the derived system, are discussed in graphical formats. Excellent proficiency in the numerical process is analyzed by comparing the results with available literature in limiting scenarios. Findings The significant outcomes of the current investigation are that the velocity field uplifts for higher velocity slip and magnetic strength. Further, the heat transfer rate is reduced with the incremental values of the Eckert number, while it uplifts with thermal slip and radiation parameters. An increase in Brinkmann’s number uplifts the entropy generation rate, while that peters out the Bejan number. The results of this study are of importance involving in the assessment of the effect of some important design parameters on heat transfer and, consequently, on the optimization of industrial processes. Originality/value This study is original work that reports the hybrid nanofluid model of Fe3O4–Co/kerosene.

THREE-DIMENSIONAL STAGNATION-POINT FLOW OVER A PERMEABLE STRETCHING/SHRINKING SHEET WITH A SECOND ORDER SLIP FLOW

2021 ◽  
Vol 10 (9) ◽  
pp. 3273-3282
Author(s):  
M.E.H. Hafidzuddin ◽  
R. Nazar ◽  
N.M. Arifin ◽  
I. Pop
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Flow Model ◽  
Nonlinear Partial Differential Equations ◽  
Slip Flow ◽  
Three Dimensional ◽  
Flow Characteristics ◽  
Second Order ◽  
Stagnation Point Flow ◽  
Shrinking Sheet

The problem of steady laminar three-dimensional stagnation-point flow on a permeable stretching/shrinking sheet with second order slip flow model is studied numerically. Similarity transformation has been used to reduce the governing system of nonlinear partial differential equations into the system of ordinary (similarity) differential equations. The transformed equations are then solved numerically using the \texttt{bvp4c} function in MATLAB. Multiple solutions are found for a certain range of the governing parameters. The effects of the governing parameters on the skin friction coefficients and the velocity profiles are presented and discussed. It is found that the second order slip flow model is necessary to predict the flow characteristics accurately.

Maxwell Fluids Unsteady Mixed Flow and Radiation Heat Transfer Over a Stretching Permeable Plate With Boundary Slip and Nonuniform Heat Source/Sink

2013 ◽  
Vol 135 (3) ◽  
Author(s):  
Liancun Zheng ◽  
Ning Liu ◽  
Xinxin Zhang
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Heat Source ◽  
Mixed Boundary ◽  
Radiation Heat Transfer ◽  
Radiation Heat ◽  
Boundary Slip ◽  
Analytical Approximations ◽  
Maxwell Fluids ◽  
Source Sink

This paper presents an analysis for the unsteady mixed boundary-layer flow and radiation heat transfer of generalized Maxwell fluids toward an unsteady stretching permeable surface in presence of boundary slip and nonuniform heat source/sink. The governing partial differential equations are converted into nonlinear ordinary differential equations and analytical approximations of solutions are derived by homotopy analysis method (HAM). The effects of the unsteadiness parameter, nonuniform heat source/sink parameter, suction/injection parameter, thermal radiation parameter and slip parameter on the fluid flow, and heat transfer characteristics are shown graphically and analyzed.

Heat transfer of three-dimensional micropolar fluid on a Riga plate

2020 ◽  
Vol 98 (1) ◽  
pp. 32-38 ◽  
Author(s):  
S. Nadeem ◽  
M.Y. Malik ◽  
Nadeem Abbas
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Differential Equations ◽  
Surface Temperature ◽  
Ordinary Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Nonlinear Ordinary Differential Equations ◽  
Exponential Order ◽  
Riga Plate

In this article, we deal with prescribed exponential surface temperature and prescribed exponential heat flux due to micropolar fluids flow on a Riga plate. The flow is induced through an exponentially stretching surface within the time-dependent thermal conductivity. Analysis is performed inside the heat transfer. In our study, two cases are discussed here, namely prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF). The governing systems of the nonlinear partial differential equations are converted into nonlinear ordinary differential equations using appropriate similarity transformations and boundary layer approach. The reduced systems of nonlinear ordinary differential equations are solved numerically with the help of bvp4c. The significant results are shown in tables and graphs. The variation due to modified Hartman number M is observed in θ (PEST) and [Formula: see text] (PEHF). θ and [Formula: see text] are also reduced for higher values of the radiation parameter Tr. Obtained results are compared with results from the literature.

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