scholarly journals Numerical Solutions for Laminar Boundary Layer Nanofluid Flow along with a Moving Cylinder with Heat Generation, Thermal Radiation, and Slip Parameter

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Titilayo Morenike Agbaje ◽  
Gilbert Makanda
Keyword(s):  
Boundary Layer ◽  
Brownian Motion ◽  
Thermal Radiation ◽  
Laminar Boundary Layer ◽  
Heat Generation ◽  
Velocity Slip ◽  
Concentration Profiles ◽  
Temperature Profiles ◽  
Radiation Parameter ◽  
Moving Cylinder

The investigation of the numerical solution of the laminar boundary layer flow along with a moving cylinder with heat generation, thermal radiation, and surface slip effect is carried out. The fluid mathematical model developed from the Navier-Stokes equations resulted in a system of partial differential equations which were then solved by the multidomain bivariate spectral quasilinearization method (MD-BSQLM). The results show that increasing the velocity slip factor results in an enhanced increase in velocity and temperature profiles. Increasing the heat generation parameter increases temperature profiles; increasing the radiation parameter and the Eckert numbers both increase the temperature profiles. The concentration profiles decrease with increasing radial coordinate. Increasing the Brownian motion and the thermophoresis parameter both destabilizes the concentration profiles. Increasing the Schmidt number reduces temperature profiles. The effect of increasing selected parameters: the velocity slip, Brownian motion, and the radiation parameter on all residual errors show that these errors do not deteriorate. This shows that the MD-BSQLM is very accurate and robust. The method was compared with similar results in the literature and was found to be in excellent agreement.

scholarly journals The effect of thermal radiation, heat generation and suction/injection on the mechanical properties of unsteady continuous moving cylinder in a nanofluid

2015 ◽  
Vol 19 (5) ◽  
pp. 1591-1601 ◽  
Author(s):  
El-Sayed El-Bashbeshy ◽  
Tarek Emam ◽  
Mohamed Abdel-Wahed
Keyword(s):  
Mechanical Properties ◽  
Boundary Layer ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Volume Fraction ◽  
Nanoparticle Volume Fraction ◽  
Radiation Heat ◽  
Cooling Medium ◽  
Moving Cylinder ◽  
Radiation Heat Generation

The effect of thermal radiation, heat generation, suction/injection, nanoparticles type, and nanoparticle volume fraction on heat transfer characteristics and the mechanical properties of unsteady moving cylinder embedded into cooling medium consist of water with Cu; Ag or Al2O3 particles are studied. The governing time dependent boundary layer equations are transformed to ordinary differential equations containing unsteadiness parameter, thermal radiation parameter, heat source parameter, suction/injection parameter, curvature parameter, nanoparticle volume fraction and Prandlt number. These equations are solved numerically. The velocity and Temperature profiles within the boundary layer are plotted and discussed in details for various values of the different parameters. Also the effects of the cooling medium and the external thermal forces on the mechanical properties of the cylinder are investigated.

scholarly journals The 3-D flow of Casson nanofluid over a stretched sheet with chemical reactions, velocity slip, thermal radiation and Brownian motion

2020 ◽  
Vol 24 (5 Part A) ◽  
pp. 2929-2939 ◽  
Author(s):  
Muhammad Umar ◽  
Zulqurnain Sabir ◽  
Ali Imran ◽  
Abdul Wahab ◽  
Muhammad Shoaib ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Thermal Radiation ◽  
Chemical Reactions ◽  
Numerical Data ◽  
Lewis Number ◽  
Velocity Slip ◽  
Concentration Profiles ◽  
Casson Nanofluid ◽  
And Brownian Motion ◽  
Opposite Behavior

The 3-D flow of Casson nanofluid over a stretched sheet with chemical reactions, velocity slip, thermal radiation, and Brownian motion have been analyzed. By employing the similarity transformation, the ODE are obtained from the fluidic system PDE. The transformed ODE are handled for the numerical solution of the proposed fluidic problem by incorporating shooting technique. To compare the obtained numerical results, Lobatto 111A method has been implemented, with 5-8 decimal places of accuracy. The numerical data for the fluidic parameters of interest are demonstrated in the tabular form, further few proficient parameters effects like magnetic parameter, Lewis number, stretching rate parameter, the thermal radiation parameter and Prandtl number on velocity, temperature and concentration profiles have been exhibited numerically as well as graphically. By enhancing the velocity slip parameter, increment is examined in temperature and concentration profiles while opposite behavior is recorded in the velocity profile. Both the concentration and temperature profiles decline with the increase in the Stretching rate ratio parameter.

scholarly journals Influence of Magnetohydrodynamic and Thermal Radiation Boundary Layer Flow of a Nanofluid Past a Stretching Sheet

2014 ◽  
Vol 6 (2) ◽  
pp. 257-272 ◽  
Author(s):  
M. G. Reddy
Keyword(s):  
Boundary Layer ◽  
Brownian Motion ◽  
Thermal Radiation ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Velocity Slip ◽  
Heat Radiation ◽  
Convective Boundary ◽  
Non Linear ◽  
Layer Flow

The problem of laminar fluid flow which results from a permeable stretching of a flat surface in a nanofluid with the effects of heat radiation, magnetic field, velocity slip and convective boundary conditions have been investigated. The transport equations used in the analysis took into account the effect of Brownian motion and thermophoresis parameters. The solution for the velocity, temperature and nanoparticle concentration depends on parameters viz. thermal radiation parameter R, magnetic parameter M, Prandtl number Pr, Lewis number Le, Brownian motion parameter Nb, thermophoresis parameter Nt, velocity slip parameter A convection and Biot numbe Bi. Similarity transformation is used to convert the governing non-linear boundary-layer equations into coupled higher order non-linear ordinary differential equations. These equations are numerically solved using fourth order Runge-Kutta method along with shooting technique. An analysis has been carried out to elucidate the effects of governing parameters corresponding to various physical conditions. Numerical results are obtained for distributions of velocity, temperature and concentration, as well as, for the skin friction, local Nusselt number and local Sherwood number for several values of governing parameters. Keywords: Nanofluid, Boundary layer flow; Stretching sheet; Thermal radiation; MHD; Velocity slip; Convective boundary. © 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. doi: http://dx.doi.org/10.3329/jsr.v6i2.17233 J. Sci. Res. 6 (2), 257-272 (2014)  

scholarly journals Thermal radiation effects on the onset of unsteadiness of fluid flow in vertical microchannel filled with highly absorbing medium

2016 ◽  
Vol 20 (5) ◽  
pp. 1585-1596 ◽  
Author(s):  
Jamalabadia Abdollahzadeh ◽  
Hyun Park ◽  
Chang Lee
Keyword(s):  
Reynolds Number ◽  
Nusselt Number ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Temperature Jump ◽  
Velocity Slip ◽  
Radiation Parameter ◽  
Absorbing Medium ◽  
Grashof Number ◽  
Temperature Parameter

This study presents the effect of thermal radiation on the steady flow in a vertical micro channel filled with highly absorbing medium. The governing equations (mass, momentum and energy equation with Rosseland approximation and slip boundary condition) are solved analytically. The effects of thermal radiation parameter, the temperature parameter, Reynolds number, Grashof number, velocity slip length, and temperature jump on the velocity and temperature profiles, Nusselt number, and skin friction coefficient are investigated. Results show that the skin friction and the Nusselt number are increased with increase in Grashof number, velocity slip, and pressure gradient while temperature jump and Reynolds number have an adverse effect on them. Furthermore, a criterion for the flow unsteadiness based on the temperature parameter, thermal radiation parameter, and the temperature jump is presented.

Convective transport of thermal and solutal energy in unsteady MHD Oldroyd-B nanofluid flow

2021 ◽  
Author(s):  
Muhammad Yasir ◽  
Masood Khan ◽  
Awais Ahmed ◽  
Malik Zaka Ullah
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Heat Generation ◽  
Axisymmetric Flow ◽  
Convective Transport ◽  
Buongiorno’S Model ◽  
Linear Ordinary Differential Equations ◽  
Non Linear

Abstract In this work, an analysis is presented for the unsteady axisymmetric flow of Oldroyd-B nanofluid generated by an impermeable stretching cylinder with heat and mass transport under the influence of heat generation/absorption, thermal radiation and first-order chemical reaction. Additionally, thermal and solutal performances of nanofluid are studied using an interpretation of the well-known Buongiorno's model, which helps us to determine the attractive characteristics of Brownian motion and thermophoretic diffusion. Firstly, the governing unsteady boundary layer equation's (PDEs) are established and then converted into highly non-linear ordinary differential equations (ODEs) by using the suitable similarity transformations. For the governing non-linear ordinary differential equations, numerical integration in domain [0, ∞) is carried out using the BVP Midrich scheme in Maple software. For the velocity, temperature and concentration distributions, reliable results are prepared for different physical flow constraints. According to the results, for increasing values of Deborah numbers, the temperature and concentration distribution are higher in terms of relaxation time while these are decline in terms of retardation time. Moreover, thermal radiation and heat generation/absorption are increased the temperature distribution and corresponding boundary layer thickness. With previously stated numerical values, the acquired solutions have an excellent accuracy.

Magnetohydrodynamics (MHD) Heat and Mass Transfer of Casson Fluid Flow Past a Semi-Infinite Vertical Plate with Thermophoresis Effect: Spectral Relaxation Analysis

2018 ◽  
Vol 389 ◽  
pp. 18-35
Author(s):  
Bidemi O. Falodun ◽  
C. Onwubuoya ◽  
F.H. Awoniran Alamu
Keyword(s):  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Heat Generation ◽  
Porous Plate ◽  
Great Influence ◽  
Thermal Engineering ◽  
Concentration Profiles ◽  
Local Skin ◽  
Flow Equations ◽  
Spectral Relaxation

In this paper, boundary layer flow of non-Newtonian Casson fluids past a semi-infinite porous plate in the presence of thermal radiation, viscous dissipation and heat generation is explored. Fluids of this type act as solid elastic and they are very important in food technology, biological science, etc. The flow took place over a semi-infinite vertical porous plate. The presence of viscous dissipation in the flow equations plays a significant role on flows having high viscosity such as polymers and oils. Thermal radiation and heat generation plays a decisive role in the design of many advanced energy conversion system which operates at higher temperature. Hence, the present study is useful in food processing industries and thermal engineering processes. The flows governing equations are numerically solved with spectral relaxation method (SRM). SRM is an iterative procedure that employs the Gauss-siedel type of relaxation approach to linearize and decoupled the system of coupled differential equations. The influence of controlling parameters on velocity, temperature and concentration profiles are plotted in graphs. Furthermore, numerical computations of the local skin friction, local Nusselt number and local sherwood number are presented in tabular form. Results revealed that the presence of the thermophoresis in the concentration equation has great influence on the velocity and concentration profiles because increasing the thermophoresis parameter intensifies the velocity and concentration profiles.

Thermal radiation effects in laminar boundary- layer flow.

AIAA Journal ◽  
1967 ◽  
Vol 5 (10) ◽  
pp. 1893-1894 ◽  
Author(s):  
R. J. TABACZYNSKI ◽  
LAWRENCE A. KENNEDY
Keyword(s):  
Boundary Layer ◽  
Thermal Radiation ◽  
Laminar Boundary Layer ◽  
Boundary Layer Flow ◽  
Radiation Effects ◽  
Layer Flow

scholarly journals The Effects of Some Thermo-physical Properties of Fluid on Heat and Mass Transfer Flow Past Semi-infinite Moving Vertical Plate with Viscous Dissipation

2019 ◽  
pp. 1-11
Author(s):  
M. O. Durojaye ◽  
K. A. Jamiu ◽  
I. O. Ajala
Keyword(s):  
Mass Transfer ◽  
Thermal Radiation ◽  
Physical Properties ◽  
Heat And Mass Transfer ◽  
Vertical Plate ◽  
Concentration Profiles ◽  
Temperature Profiles ◽  
Flow Past ◽  
Transfer Flow ◽  
Thermo Physical Properties

This paper examines the effect of some thermo-physical properties of fluid on heat and mass transfer flow past semi-infinite moving vertical plate. The fluid considered is optically thin such that the thermal radiative heat loss on the fluid is modeled using Rosseland approximation.The governing partial differential equations in dimensionless forms are solved numerically using the Method of Lines (MOL). The velocity, the temperature, and the concentration profiles of the flow are discussed numerically and presented. Numerical values of the skin-friction coefficient, Nusselt number, and Sherwood number at the plate are discussed numerically for various values of thermo-physical parameters and they are presented by the tables.The result shows that an increase in thermal radiation causes increase in velocity and temperature profiles of the flow, thus, the thermal radiation intensifies the convective flow. Also, an increase in Soret number causes increase in velocity and concentration profiles of the flow while the effect is negligible on temperature profile distribution. Similarly, an increase in Dufour number causes increase in velocity and temperature profiles of the flow.

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