scholarly journals Non-Newtonian Momentum Transfer past an Isothermal Stretching Sheet with Applied Suction

2017 ◽  
Vol 22 (3) ◽  
pp. 665-674
Author(s):  
P.H. Veena ◽  
B. Suresh ◽  
V.K. Pravin ◽  
A.M. Goud
Keyword(s):  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Exact Analytical Solution ◽  
Saturated Porous Medium ◽  
Momentum Equation ◽  
Elastic Parameter ◽  
Boundary Layer Theory ◽  
Elastic Surface ◽  
Permeability Parameter ◽  
Self Similar

AbstractThe paper discusses the flow of an incompressible non-Newtonian fluid due to stretching of a plane elastic surface in a saturated porous medium in the approximation of boundary layer theory. An exact analytical solution of non-linear MHD momentum equation governing the self-similar flow is given. The skin friction co-efficient decreases with an increase in the visco-elastic parameterk1and increase in the values of both the magnetic parameter and permeability parameter.

Hydromagnetic effects on non-Newtonian Hiemenz flow

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Suman Sarkar ◽  
Bikash Sahoo
Keyword(s):  
Magnetic Field ◽  
Free Boundary ◽  
Existence And Uniqueness ◽  
Uniform Magnetic Field ◽  
Magnetic Parameter ◽  
Similarity Transformation ◽  
The Self ◽  
Free Boundary Value Problem ◽  
Uniqueness Of The Solution ◽  
Self Similar

Abstract The stagnation point flow of a non-Newtonian Reiner–Rivlin fluid has been studied in the presence of a uniform magnetic field. The technique of similarity transformation has been used to obtain the self-similar ordinary differential equations. In this paper, an attempt has been made to prove the existence and uniqueness of the solution of the resulting free boundary value problem. Monotonic behavior of the solution is discussed. The numerical results, shown through a table and graphs, elucidate that the flow is significantly affected by the non-Newtonian cross-viscous parameter L and the magnetic parameter M.

Similarity Solutions of the MHD Stagnation-Point Flow over a Power-Law Stretching Sheet

2011 ◽  
Vol 52-54 ◽  
pp. 1895-1900
Author(s):  
Jing Zhu ◽  
Lian Cun Zheng ◽  
Xue Hui Chen
Keyword(s):  
Stagnation Point ◽  
Power Law ◽  
Stretching Sheet ◽  
Velocity Ratio ◽  
Similarity Solutions ◽  
Stagnation Point Flow ◽  
Electrically Conducting ◽  
Power Law Exponent ◽  
Permeability Parameter ◽  
Scaling Group Of Transformations

A similarity analysis is performed for a steady laminar boundary layer stagnation-point flow of an electrically conducting fluid in a porous medium subject to a transverse non-uniform magnetic field past a non-linear stretching sheet. A scaling group of transformations is applied to get the invariants. Using the invariants, a third order ordinary differential equation corresponding to the momentum is obtained. We show the existence and uniqueness of convex and concave solutions for the power law exponent, according to the values of magnetic parameter, permeability parameter and velocity ratio parameter.

scholarly journals Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source

2016 ◽  
Vol 2016 ◽  
pp. 1-18 ◽  
Author(s):  
B. S. Bhadauria
Keyword(s):  
Heat Source ◽  
Viscoelastic Fluid ◽  
Saturated Porous Medium ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Momentum Equation ◽  
Darcy Law ◽  
Chaotic Convection ◽  
Saturated Porous Layer ◽  
Truncated Fourier Series

Chaotic convection in a viscoelastic fluid saturated porous layer, heated from below, is studied by using Oldroyd’s type constituting relation and in the presence of an internal heat source. A modified Darcy law is used in the momentum equation, and a heat source term has been considered in energy equation. An autonomous system of fourth-order differential equations has been deduced by using a truncated Fourier series. Effect of internal heat generation on chaotic convection has been investigated. The asymptotic behavior can be stationary, periodic, or chaotic, depending upon the flow parameters. Construction of four-scroll, or “two-butterfly,” and chaotic attractor has been examined.

Steady Flow of an Electrically Conducting Incompressible Viscoelastic Fluid over a Heated Plate

2005 ◽  
Vol 60 (1-2) ◽  
pp. 29-36 ◽  
Author(s):  
Mina B. Abd-el-Malek ◽  
Medhat M. Helala
Keyword(s):  
Viscoelastic Fluid ◽  
Magnetic Parameter ◽  
Transformation Group ◽  
Numerical Technique ◽  
Elastic Parameter ◽  
Heated Plate ◽  
Theoretic Approach ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Basic Equations

The transformation group theoretic approach is applied to the problem of the flow of an electrically conducting incompressible viscoelastic fluid near the forward stagnation point of a heated plate. The application of one-parameter transformation group reduces the number of independent variables, by one, and consequently the basic equations governing flow and heat transfer are reduced to a set of ordinary differential equations. These equations have been solved approximately subject to the relevant boundary conditions by employing the shooting numerical technique. The effect of the magnetic parameter M, the Prandtl number Pr and the non-dimensional elastic parameter representing the non- Newtonian character of the fluid k on velocity field, shear stress, temperature distribution and heat flux are carefully examined.

Fully developed Darcy-Forchheimer nanomaterial flow with Cattaneo–Christov (CC) double diffusion model

2020 ◽  
Vol 34 (21) ◽  
pp. 2050214
Author(s):  
M. Ijaz Khan ◽  
M. U. Hafeez ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Uniform Magnetic Field ◽  
Series Solution ◽  
Magnetic Parameter ◽  
Concentration Field ◽  
Velocity Slip ◽  
Double Diffusion ◽  
Surface Drag ◽  
Flow Parameters ◽  
Permeability Parameter ◽  
Thickness Parameter

The current work examines the MHD convective stagnation point flow of nanofluid over a stretched surface. A uniform magnetic field is applied in a transverse direction. Darcy–Forchheimer’s relation is accounted to demonstrate the flow nature in a permeable medium. Cattaneo–Christov heat and mass flux expressions are incorporated in the modeling. Velocity slip conditions are taken. The non-dimensional velocity, temperature and concentration field are analyzed via pertinent flow parameters like permeability parameter, Buoyancy or mixed convection variable, magnetic parameter, Prandtl number and surface thickness parameter. Results are tabulated for the surface drag force. The Homotopic technique is utilized for the series solution of differential system.

scholarly journals Computational study of unsteady couple stress magnetic nanofluid flow from a stretching sheet with Ohmic dissipation

2019 ◽  
Vol 233 (2-4) ◽  
pp. 49-63 ◽  
Author(s):  
Mahesh Kumar ◽  
G Janardhana Reddy ◽  
N Naresh Kumar ◽  
O Anwar Bég
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Couple Stress ◽  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Aluminium Oxide ◽  
Ohmic Dissipation ◽  
Non Linear ◽  
Layer Flow ◽  
Sheet Stretching

To provide a deeper insight of the transport phenomena inherent to the manufacturing of magnetic nano-polymer materials, in the present work a mathematical model is developed for time-dependent hydromagnetic rheological nano-polymer boundary layer flow and heat transfer over a stretching sheet in the presence of a transverse static magnetic field. Joule heating (Ohmic dissipation) and viscous heating effects are included since these phenomena arise frequently in magnetic materials processing. Stokes’ couple stress model is deployed to simulate non-Newtonian microstructural characteristics. The Tiwari–Das nanoscale model is adopted which permits different nanoparticles to be simulated (in this article, both copper–water and aluminium oxide–water nanofluids are considered). Similarity transformations are utilized to convert the governing partial differential conservation equations into a system of coupled, non-linear ordinary differential equations with appropriate wall and free stream boundary conditions. The shooting technique is used to solve the reduced non-linear coupled ordinary differential boundary value problem via MATLAB symbolic software. Validation with published results from the literature is included for the special cases of non-dissipative and Newtonian nanofluid flows. Fluid velocity and temperature profiles for both copper and aluminium oxide (Al2O3) nanofluids are observed to be enhanced with greater non-Newtonian couple stress parameter and magnetic parameter, whereas the opposite trend is computed with greater values of unsteadiness parameter. The boundary layer flow is accelerated with increasing buoyancy parameter, elastic sheet stretching parameter and convection parameter. Temperatures are generally increased with greater couple stress rheological parameter and are consistently higher for the aluminium oxide nanoparticle case. Temperatures are also boosted with magnetic parameter and exhibit an overshoot near the wall when magnetic parameter exceeds unity (magnetic force exceeds viscous force). A decrease in temperatures is induced with increasing sheet stretching parameter. Increasing Eckert number elevates temperatures considerably. With greater nanoparticle volume fraction, both skin friction and Nusselt number are elevated, and copper nanoparticles achieve higher magnitudes than aluminium oxide.

scholarly journals Fractional Boundary Layer Flow and Heat Transfer Over a Stretching Sheet With Variable Thickness

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
Lin Liu ◽  
Liancun Zheng ◽  
Yanping Chen ◽  
Fawang Liu
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Governing Equations ◽  
Velocity Boundary Layer ◽  
Flow And Heat Transfer ◽  
Temperature Boundary ◽  
Layer Flow ◽  
Fractional Parameter

The paper gives a comprehensive study on the space fractional boundary layer flow and heat transfer over a stretching sheet with variable thickness, and the variable magnetic field is applied. Novel governing equations with left and right Riemann–Liouville fractional derivatives subject to irregular region are formulated. By introducing new variables, the boundary conditions change as the traditional ones. Solutions of the governing equations are obtained numerically where the shifted Grünwald formulae are applied. Good agreement is obtained between the numerical solutions and exact solutions which are constructed by introducing new source items. Dynamic characteristics with the effects of involved parameters on the velocity and temperature distributions are shown and discussed by graphical illustrations. Results show that the velocity boundary layer is thicker for a larger fractional parameter or a smaller magnetic parameter, while the temperature boundary layer is thicker for a larger fractional parameter, a smaller exponent parameter, or a larger magnetic parameter. Moreover, it is thicker at a smaller y and thinner at a larger y for the velocity boundary layer with a larger exponent parameter while for the velocity and temperature boundary layers with a smaller weight coefficient.

Numerical Investigation of Heat Transfer in Forced Convection in a Helical Pipe Filled With a Porous Medium

2005 ◽  
Author(s):  
Liping Cheng ◽  
Andrey V. Kuznetsov
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Axial Flow ◽  
Darcy Number ◽  
Momentum Equation ◽  
Darcy Law ◽  
Helical Pipe ◽  
Fluid Saturated Porous Medium ◽  
Flow Inertia

This paper investigates numerically heat transfer in a helical pipe filled with a fluid saturated porous medium. The analysis is based on the full momentum equation for porous media that accounts for the Brinkman and Forchheimer extensions of the Darcy law as well as for the flow inertia. Numerical computations are performed in an orthogonal helical coordinate system. The effects of the Darcy number, the Forchheimer coefficient as well as the Dean and Germano numbers on the axial flow velocity, secondary flow, temperature distribution, and the Nusselt number are analyzed.

Analysis of a porous inclined slider bearing lubricated with a magnetic fluid considering slip velocity

2007 ◽  
Vol 221 (3) ◽  
pp. 81-85 ◽  
Author(s):  
N Ahmad ◽  
J P Singh
Keyword(s):  
Theoretical Model ◽  
Magnetic Fluid ◽  
Slip Velocity ◽  
Magnetic Parameter ◽  
Load Capacity ◽  
Slip Parameter ◽  
Slider Bearing ◽  
Permeability Parameter ◽  
Velocity Effect

A theoretical model of a magnetic-fluid-based porous inclined slider bearing has been considered to study the slip velocity effect on the load capacity of the bearing. The expression for load capacity has been obtained in terms of the slip parameter and the permeability parameter. The dependence of load on the magnetic parameter, the permeability parameter, and the slip parameter has been studied graphically. Minimization of the slip parameter and the permeability parameter have been discussed for the possible increase in load capacity.

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