scholarly journals Unsteady Ferrofluid Slip Flow in the Presence of Magnetic Dipole With Convective Boundary Conditions

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 138551-138562
Author(s):  
Saeed Islam ◽  
Muhammad Zubair ◽  
Asifa Tassaddiq ◽  
Zahir Shah ◽  
Hussam Alrabaiah ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Magnetic Dipole ◽  
Slip Flow ◽  
Convective Boundary Conditions ◽  
Convective Boundary

Overlapping Multi-Domain Spectral Method for MHD Mixed Convection Slip Flow Over an Exponentially Decreasing Mainstream with Nonuniform Heat Source/Sink and Convective Boundary Conditions

2020 ◽  
pp. 2150004
Author(s):  
Musawenkhosi P. Mkhatshwa ◽  
Sandile S. Motsa ◽  
Precious Sibanda
Keyword(s):  
Boundary Layer ◽  
Heat Source ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Slip Flow ◽  
Flow Fields ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Grid Points ◽  
Source Sink

Overlapping multi-domain bivariate spectral quasilinearization method is applied on magnetohydrodynamic mixed convection slip flow over an exponentially decreasing mainstream with convective boundary conditions and nonuniform heat source/sink effects. The method is employed in solving the transformed flow equations. The convergence properties and accuracy of the method are determined. The method gives highly accurate results after few iterations and using few grid points in each space subinterval and the entire interval. The use of minimal numbers of grid points at each subinterval minimizes the effects of round-off errors that can lead to instabilities. The accuracy increases as the number of overlapping subintervals increases. The accuracy improvement is achieved through making the coefficient matrices less dense. The effects of controlling parameters on the flow fields and physical quantities of interest are studied. Results show that increasing Biot number and nonuniform heat source/sink enhances the flow fields while reducing skin friction and heat transfer rate. The fluid properties improve with injection whereas the flow characteristics augment with suction. The considered exponentially decreasing external flows have particular applications in diverging channel flows. This study has practical significance in various boundary layer problems such as in controlling and delaying boundary layer separation on control surfaces and in suppressing recirculating bubbles.

Nanoparticle analysis of non-Newtonian fluid with slip and multiple convective boundary conditions

2017 ◽  
Vol 232 (3) ◽  
pp. 369-379 ◽  
Author(s):  
Rashid Mehmood ◽  
Sadaf Mukhtar ◽  
Noreen Sher Akbar
Keyword(s):  
Boundary Conditions ◽  
Transfer Rate ◽  
Mass Transfer Rate ◽  
Slip Flow ◽  
Physical Parameters ◽  
Concentration Profiles ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Navier Slip ◽  
Carreau Nanofluid

Slip flow of a Carreau nanofluid over a stretching sheet has been investigated. Thermophoresis and Brownian motion effects are taken into account. The Navier slip, thermal, and mass convective boundary conditions are taken into account. The prevailing partial differential equations are presented and transformed into a set of nonlinear ordinary differentials using scaling transformation. Effects of the physical parameters on velocity, temperature, and concentration profiles are computed numerically using the fourth-order Runge–Kutta–Fehlberg scheme. Numerical values of local Nusselt and Sherwood numbers are calculated and discussed. The obtained results revealed that enhancing the slip parameter consequently drops the temperature and concentration profiles. Heat and mass flux at the surface decreases with increasing thermophoresis parameter. Heat transfer rate enhances while the mass transfer rate decreases with the thermal Biot number.

Peristaltic flow of a Jeffery fluid over a porous conduit in the presence of variable liquid properties and convective boundary conditions

2019 ◽  
Vol 6 (2) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
Saraswati
Keyword(s):  
Boundary Conditions ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Peristaltic Flow ◽  
Physical Parameters ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Closed Form Solutions

The present article addresses the peristaltic flow of a Jeffery fluid over an inclined axisymmetric porous tube with varying viscosity and thermal conductivity. Velocity slip and convective boundary conditions are considered. Resulting governing equations are solved using long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, streamline, pressure gradient, temperature, pressure rise, and frictional force. The MATLAB numerical simulations are utilized to compute pressure rise and frictional force. The impacts of various physical parameters in the interims for time-averaged flow rate with pressure rise and is examined. The consequences of sinusoidal, multi-sinusoidal, triangular, trapezoidal, and square waveforms on physiological parameters are analyzed and discussed through graphs. The analysis reveals that the presence of variable viscosity helps in controlling the pumping performance of the fluid.

Unsteady and porous media flow of reactive non-Newtonian fluids subjected to buoyancy and suction/injection

2015 ◽  
Vol 25 (7) ◽  
pp. 1682-1704 ◽  
Author(s):  
Tirivanhu Chinyoka ◽  
Daniel Oluwole Makinde
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Boundary Conditions ◽  
Flow Velocity ◽  
Flow System ◽  
Finite Difference Methods ◽  
Porous Media Flow ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Content Type

Purpose – The purpose of this paper is to examine the unsteady pressure-driven flow of a reactive third-grade non-Newtonian fluid in a channel filled with a porous medium. The flow is subjected to buoyancy, suction/injection asymmetrical and convective boundary conditions. Design/methodology/approach – The authors assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The authors also assume unidirectional suction injection flow of uniform strength across the channel. The flow system is modeled via coupled non-linear partial differential equations derived from conservation laws of physics. The flow velocity and temperature are obtained by solving the governing equations numerically using semi-implicit finite difference methods. Findings – The authors present the results graphically and draw qualitative and quantitative observations and conclusions with respect to various parameters embedded in the problem. In particular the authors make observations regarding the effects of bouyancy, convective boundary conditions, suction/injection, non-Newtonian character and reaction strength on the flow velocity, temperature, wall shear stress and wall heat transfer. Originality/value – The combined fluid dynamical, porous media and heat transfer effects investigated in this paper have to the authors’ knowledge not been studied. Such fluid dynamical problems find important application in petroleum recovery.

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