scholarly journals Natural Convective Effects on MHD Boundary Layer Nanofluid Flow over an Exponentially Accelerating Vertical Plate

2021 ◽  
Vol 11 (6) ◽  
pp. 13790-13805
Keyword(s):  
Vertical Plate ◽  
Transverse Magnetic ◽  
Governing Equations ◽  
Nanofluid Flow ◽  
Moving Plate ◽  
Time Frequency ◽  
Laplace Transform Technique ◽  
Flow Transport ◽  
Mhd Boundary Layer ◽  
Radiation Heat Generation

The problem of unsteady natural convective nanofluid flow along with an exponentially accelerating vertical plate under the influence of transverse magnetic field is discussed in two important cases when the magnetic lines of force are fixed relative to the fluid or the moving plate. The governing equations are transformed into dimensionless form and tackled with the usual time-frequency Laplace transform technique. The impacts of various parameters on the heat transfer characteristics and nanofluid flow transport with thermal radiation, heat generation/absorption, and nanoparticle volume concentration have been studied through graphs.

The Effects of Radiation on Free Convection Flow with Ramped Wall Temperature in Brinkman Type Fluid

2013 ◽  
Vol 62 (3) ◽  
Author(s):  
Muhamad Najib Zakaria ◽  
Abid Hussanan ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Nusselt Number ◽  
Free Convection ◽  
Laplace Transform ◽  
Vertical Plate ◽  
Convection Flow ◽  
Physical Parameters ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
Effects Of Radiation

The present paper is on study of the influence of radiation on unsteady free convection flow of Brinkman type fluid near a vertical plate containing a ramped temperature profile. Using the appropriate variables, the basic governing equations are reduced to nondimensional equations valid with the imposed initial and boundary conditions. The exact solutions are obtained by using Laplace transform technique. The influence of radiation near a ramped temperature plate is also compared with the flow near a plate with constant temperature. The numerical computations are carried out for various values of the physical parameters such as velocity, temperature, skin friction and Nusselt number and presented graphically.

scholarly journals Unsteady Radiative Natural Convective MHD Nanofluid Flow Past a Porous Moving Vertical Plate with Heat Source/Sink

Molecules ◽  
2020 ◽  
Vol 25 (4) ◽  
pp. 854 ◽  
Author(s):  
Talha Anwar ◽  
Poom Kumam ◽  
Zahir Shah ◽  
Wiboonsak Watthayu ◽  
Phatiphat Thounthong
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Heat Sink ◽  
Vertical Plate ◽  
Flow Direction ◽  
Transverse Magnetic ◽  
Thermal Profile ◽  
Nanofluid Flow ◽  
Partial Differential ◽  
Source Sink

In this research article, we investigated a comprehensive analysis of time-dependent free convection electrically and thermally conducted water-based nanofluid flow containing Copper and Titanium oxide (Cu and TiO 2 ) past a moving porous vertical plate. A uniform transverse magnetic field is imposed perpendicular to the flow direction. Thermal radiation and heat sink terms are included in the energy equation. The governing equations of this flow consist of partial differential equations along with some initial and boundary conditions. The solution method of these flow interpreting equations comprised of two parts. Firstly, principal equations of flow are symmetrically transformed to a set of nonlinear coupled dimensionless partial differential equations using convenient dimensionless parameters. Secondly, the Laplace transformation technique is applied to those non-dimensional equations to get the close form exact solutions. The control of momentum and heat profile with respect to different associated parameters is analyzed thoroughly with the help of graphs. Fluid accelerates with increasing Grashof number (Gr) and porosity parameter (K), while increasing values of heat sink parameter (Q) and Prandtl number (Pr) drop the thermal profile. Moreover, velocity and thermal profile comparison for Cu and TiO 2 -based nanofluids is graphed.

scholarly journals Radiation and Chemical Reaction Effects on Unsteady Double Diffusive Convective Flow past an Oscillating Surface with Constant Heat Flux

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Arpita Jain
Keyword(s):  
Chemical Reaction ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Constant Heat Flux ◽  
Governing Equations ◽  
Flow Past ◽  
Constant Rate ◽  
Laplace Transform Technique ◽  
Flow Variables ◽  
Transfer Flow

This paper presents an analysis of combined heat and mass transfer flow past an oscillating vertical plate under the action of radiation effects and chemical reaction when heat is supplied to the plate at constant rate. The governing equations are solved in closed form by Laplace-transform technique. The results are obtained for temperature, concentration, velocity, skin friction, Nusselt number, and Sherwood number. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed.

scholarly journals Transient Free Convective MHD Flow Past an Exponentially Accelerated Vertical Porous Plate with Variable Temperature through a Porous Medium

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Ashish Paul
Keyword(s):  
Boundary Layer ◽  
Skin Friction ◽  
Vertical Plate ◽  
Variable Temperature ◽  
Porous Plate ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Magnetic Reynolds Number ◽  
Suction Parameter ◽  
Laplace Transform Technique

This paper is concerned with analytical solution of one-dimensional unsteady laminar boundary layer MHD flow of a viscous incompressible fluid past an exponentially accelerated infinite vertical plate in presence of transverse magnetic field. The vertical plate and the medium of flow are considered to be porous. The fluid is assumed to be optically thin and the magnetic Reynolds number is considered small enough to neglect the induced hydromagnetic effects. The governing boundary layer equations are first converted to dimensionless form and then solved by Laplace transform technique. Numerical values of transient velocity, temperature, skin friction, and Nusselt number are illustrated and are presented in graphs for various sets of physical parametric values, namely, Grashof number, accelerating parameter, suction parameter, permeability parameter, radiation parameter, magnetic parameter, and time. It is found that the velocity decreases with increases of the suction parameter for both cases of cooling and heating of the porous plate whereas skin friction increases with increase of suction parameter.

scholarly journals Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature

2008 ◽  
Vol 35 (4) ◽  
pp. 323-331 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
K.E. Sathappan ◽  
R. Natarajan
Keyword(s):  
Vertical Plate ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Temperature Profiles ◽  
Governing Equations ◽  
Transfer Effects ◽  
Flow Past ◽  
Laplace Transform Technique ◽  
Heat Transfer Effects ◽  
Infinite Vertical Plate

An exact solution to the problem of flow past an exponentially accelerated infinite vertical plate with variable temperature is analyzed. The temperature of the plate is raised linearly with time t. The dimensionless governing equations are solved using Laplace-transform technique. The velocity and temperature profiles are studied for different physical parameters like thermal Grashof number Gr, time and an accelerating parameter a. It is observed that the velocity increases with increasing values of a or Gr.

UNSTEADY HEAT TRANSFER FLOW OF A CASSON FLUID WITH NEWTONIAN HEATING AND THERMAL RADIATION

2016 ◽  
Vol 78 (4-4) ◽  
Author(s):  
Abid Hussanan ◽  
Mohd Zuki Salleh ◽  
Ilyas Khan ◽  
Razman Mat Tahar
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Vertical Plate ◽  
Casson Fluid ◽  
Newtonian Heating ◽  
Governing Equations ◽  
Unsteady Heat Transfer ◽  
Laplace Transform Technique ◽  
Limiting Case ◽  
Transfer Flow

This study investigates the unsteady heat transfer flow of a non-Newtonian Casson fluid over an oscillating vertical plate with Newtonian heating on the wall under the effects of thermal radiation. With the help of non-dimensional variables, governing equations are written into dimensionless form and then solved analytically by Laplace transform technique to find the solutions of temperature and velocity. The corresponding solutions of Nusselt number and skin friction are also calculated. The solution in term of viscous fluid is recovered as a limiting case of this work. The effects of the pertinent parameters on temperature and velocity are presented graphically and discussed details in this paper.  

MHD nanofluid flow through a deformable asymmetric porous channel

2017 ◽  
Vol 34 (3) ◽  
pp. 852-868 ◽  
Author(s):  
Naveed Ahmed ◽  
Umar Khan ◽  
Syed Tauseef Mohyud-din
Keyword(s):  
Flow Behavior ◽  
Mass Transfer Rate ◽  
Transverse Magnetic ◽  
Porous Channel ◽  
Governing Equations ◽  
Nanofluid Flow ◽  
Content Type ◽  
Flow Parameters ◽  
Permeability Parameter ◽  
Flow Through

Purpose The aim of this manuscript is to study the flow of a nanofluid through a porous channel under the influence of a transverse magnetic field. Permeability of the walls is considered to be different, which results in an asymmetric nature of the flow. The height of the channel is variable, and it dilates or squeezes at a uniform rate. Design/methodology/approach A numerical solution (Runge–Kutta–Fehlberg) has been obtained after reducing the governing equations to a system of nonlinear ordinary differential equations using some suitable similarity transforms, both in time and space. Findings An increase in absolute values of the permeability parameter results in an enhanced mass transfer rate at both the walls, while the rate of heat transfer also increases at the lower wall. Few graphs are also dedicated to see the behavior of Nusselt and Sherwood numbers following the variations in flow parameters. Originality/value A pictorial description of the flow and effects of emerging parameters on the temperature and nanoparticle concentration profiles is presented to analyze the flow behavior. It is established that the asymmetry of the channel affects the flow quite significantly.

scholarly journals Chemically reacting fluid flow induced by an exponentially accelerated infinite vertical plate in a magnetic field and variable temperature via LTT and FEM

2016 ◽  
Vol 43 (1) ◽  
pp. 49-83 ◽  
Author(s):  
Raju Srinivasa ◽  
G. Aruna ◽  
Swamy Naidu ◽  
S.V.K. Varma ◽  
M.M. Rashidi
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Vertical Plate ◽  
Flow Problem ◽  
Variable Temperature ◽  
Governing Equations ◽  
Linear Partial Differential Equations ◽  
Laplace Transform Technique ◽  
Chemically Reacting ◽  
Infinite Vertical Plate

In this research paper, we found both numerical and analytical solutions for the effect of chemical reaction on unsteady, incompressible, viscous fluid flow past an exponentially accelerated vertical plate with heat absorption and variable temperature in a magnetic field. The flow problem is governed by a system of coupled non-linear partial differential equations with suitable boundary conditions. We have solved the governing equations by an efficient, accurate, powerful finite element method (FEM) as well as Laplace transform technique (LTT). The evaluation of the numerical results are performed and graphical results for the velocity, temperature and concentration profiles within the boundary layer are discussed. Also, the expressions for the skin-friction, Nusselt number and the Sherwood number coefficients have been derived and discussed through graphs and tabular forms for different values of the governing parameters.

EFFECTS OF HALL CURRENT AND ROTATION ON UNSTEADY HYDROMAGNETIC COUETTE FLOW WITHIN A POROUS CHANNEL

2012 ◽  
Vol 04 (02) ◽  
pp. 1250015 ◽  
Author(s):  
G. S. SETH ◽  
J. K. SINGH ◽  
G. K. MAHATO
Keyword(s):  
Shear Stress ◽  
Couette Flow ◽  
Hall Current ◽  
Transverse Magnetic ◽  
Secondary Flows ◽  
Moving Plate ◽  
Electrically Conducting ◽  
Injection Parameter ◽  
Laplace Transform Technique ◽  
Current Parameter

Unsteady hydromagnetic Couette flow of a viscous, incompressible and electrically conducting fluid between two parallel porous plates taking Hall current into account in a rotating system is studied. Fluid flow within the channel is induced due to impulsive movement of the lower plate of the channel and is permeated by a uniform transverse magnetic field which is fixed relative to the moving plate. Solution of the governing equations is obtained by Laplace transform technique. The expression for the shear stress at the moving plate due to primary and secondary flows is also derived. Asymptotic behavior of the solution valid for small and large values of time t is analyzed to gain some physical insight into the flow pattern. Numerical values of primary and secondary velocities and that of shear stress at the moving plate due to primary and secondary flows are displayed graphically for various values of Hall current parameter m, rotation parameter K2, magnetic parameter M2, suction/injection parameter S and time t.

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