64 research outputs found
Effects of Heat and Mass Transfer on MHD Free Convection Flow Near a Moving Vertical Plate of a Radiating and Chemically Reacting Fluid
ΠΠ·ΡΡΠ°Π΅ΡΡΡ Π·Π°Π΄Π°ΡΠ° ΠΎ Π½Π΅ΡΡΠ°ΡΠΈΠΎΠ½Π°ΡΠ½ΠΎΠΌ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΠΎ ΠΊΠΎΠ½Π²Π΅ΠΊΡΠΈΠ²Π½ΠΎΠΌ ΠΠΠ-ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΠΈ ΠΌΠ°ΡΡΠΎΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ΅ Π²ΡΠ·ΠΊΠΎΠΉ, ΡΠ»Π΅ΠΊΡΡΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΠΉ ΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈ ΡΠ΅Π°Π³ΠΈΡΡΡΡΠ΅ΠΉ Π½Π΅ΡΠΆΠΈΠΌΠ°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ ΠΏΡΠΈ Π½Π°Π»ΠΈΡΠΈΠΈ ΡΠ΅ΠΏΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ ΠΈ ΠΏΠΎΠ΄ Π²Π»ΠΈΡΠ½ΠΈΠ΅ΠΌ ΠΎΠ΄Π½ΠΎΡΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ, ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠΏΠ΅Π½Π΄ΠΈΠΊΡΠ»ΡΡΠ½ΠΎ ΠΊ
Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠΌΡ Π²Π΅ΡΡΠΈΠΊΠ°Π»ΡΠ½ΠΎΠΌΡ ΡΠ»ΠΎΡ, ΠΊΠΎΡΠΎΡΡΠΉ Π΄Π²ΠΈΠΆΠ΅ΡΡΡ Ρ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΡΠΊΠΎΡΠΎΡΡΡΡ. ΠΡΠ½ΠΎΠ²Π½ΠΎΠΉ ΡΠ΅Π»ΡΡ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π±ΡΠ»ΠΎ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅ΡΡ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ΅ΠΏΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ, ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ ΠΈ
ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΉ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅Π°ΠΊΡΠΈΠΈ Π½Π° ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ. ΠΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅ΡΡΡ, ΡΡΠΎΠΆΠΈΠ΄ΠΊΠΎΡΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅ΡΠΎΠΉ, ΠΈΠ·Π»ΡΡΠ°ΡΡΠ΅ΠΉ, ΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡΠ΅ΠΉ, Π½ΠΎ Π½Π΅ ΡΠ°ΡΡΠ΅ΠΈΠ²Π°ΡΡΠ΅ΠΉ ΡΡΠ΅Π΄ΠΎΠΉ. Π Π΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ
ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΎ Π² Π·Π°ΠΌΠΊΠ½ΡΡΠΎΠΉ ΡΠΎΡΠΌΠ΅ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΠ°ΠΏΠ»Π°ΡΠ°. ΠΡΠΈΠ²ΠΎΠ΄ΡΡΡΡ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΡ
Π΄Π»Ρ ΡΠΊΠΎΡΠΎΡΡΠΈ, ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ, ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ, ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ½ΠΎΠ³ΠΎ ΡΡΠ΅Π½ΠΈΡ ΠΈ ΡΠΊΠΎΡΠΎΡΡΠ΅ΠΉ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ΅ΠΏΠ»ΠΎ ΠΈ ΠΌΠ°ΡΡΠΎΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ°. ΠΠ±ΡΡΠΆΠ΄Π°ΡΡΡΡ Π½Π΅ΠΊΠΎΡΠΎΡΡΠ΅ ΠΈΠ½ΡΠ΅ΡΠ΅ΡΠ½ΡΠ΅ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²Π»Π΅Π½ΠΈΡ, Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡΠΈΠ΅ ΠΏΡΠΈ
ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΠΈΠΏΠ°Ρ
Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΡ ΡΠ»ΠΎΡ. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠ°ΠΊΠΆΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π² Π²ΠΈΠ΄Π΅ Π³ΡΠ°ΡΠΈΠΊΠΎΠ²,
ΠΊΠΎΡΠΎΡΡΠ΅ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°ΡΡ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΈ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π°ΡΠΏΠ΅ΠΊΡΡ Π·Π°Π΄Π°ΡΠΈ.The problem of unsteady MHD free convection flow and mass transfer of a viscous, electrically conducting
and chemically reacting incompressible fluid in presence of thermal radiation and under the influence of
uniform magnetic field applied normal to an infinite vertical plate, which moves with time dependent
velocity is studied. The primary purpose of this study was to characterize the effects of thermal radiative
heat transfer, magnetic field parameter, chemical reaction rate constant etc on the flow properties. The
fluid is also assumed to be gray; emitting absorbing but non scattering medium and the optically thick
radiation limit is considered. The solutions of the present problem are obtained in closed form by Laplace
transform technique and the expressions for velocity, temperature, concentration, skin friction,rate of
heat and mass transfer has been obtained. Some important applications of physical interest for different
type motion of the plate are discussed. The results obtained have also been presented numerically through
graphs to observe the effects of various parameters and the physical aspects of the problem
Simultaneous Effects of Slip Conditions and Wall Properties on MHD Peristaltic Flow of a Maxwell Fluid with Heat Transfer
The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic
flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathe-
matical formulation is based upon the modified Darcys law. The analytical solution has been derived for
the stream function and temperature under the assumptions of small wave number.The results obtained
in the analysis have been discussed numerically and explained graphically.ΠΡΠ»ΠΎ ΠΈΠ·ΡΡΠ΅Π½ΠΎ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΏΡΠΎΡΠΊΠ°Π»ΡΠ·ΡΠ²Π°Π½ΠΈΡ ΠΈ ΡΠ΅ΠΏΠ»ΠΎΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ° Π½Π° Π²ΠΎΠ»Π½ΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎΠ΅ ΠΌΠ°Π³Π½ΠΈΡΠΎΠ³ΠΈΠ΄-
ΡΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ΅ (ΠΠΠ) ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΌΠ°ΠΊΡΠ²Π΅Π»Π»ΠΎΠ²ΡΠΊΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ Π² ΠΏΠΎΡΠΈΡΡΠΎΠΌ ΠΏΠ»ΠΎΡΠΊΠΎΠΌ ΠΊΠ°Π½Π°Π»Π΅ Ρ ΡΠΏΡΡΠ³ΠΈ-
ΠΌΠΈ ΡΡΠ΅Π½ΠΊΠ°ΠΌΠΈ. ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠΎΡΠΌΡΠ»ΠΈΡΠΎΠ²ΠΊΠ° Π·Π°Π΄Π°ΡΠΈ ΠΎΡΠ½ΠΎΠ²Π°Π½Π° Π½Π° ΠΌΠΎΠ΄ΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΌ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΈ
ΠΠ°ΡΡΠΈ. ΠΠ½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π±ΡΠ»ΠΎ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΎ Π΄Π»Ρ ΡΡΠ½ΠΊΡΠΈΠΈ ΡΠΎΠΊΠ° ΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ Π² ΠΏΡΠ΅Π΄ΠΏΠΎΠ»ΠΎΠΆΠ΅-
Π½ΠΈΠΈ ΠΌΠ°Π»ΡΡ
Π²ΠΎΠ»Π½ΠΎΠ²ΡΡ
ΡΠΈΡΠ΅Π». ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π² ΡΠΈΡΠ»Π΅Π½Π½ΠΎΠΉ ΠΈ Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ
ΡΠΎΡΠΌΠ΅
A mathematical model on MHD slip flow and heat transfer over a nonlinear stretching sheet
Some analyses have been carried out to study the influence of
suction/blowing, thermal radiation and temperature dependent fluid properties
on the hydro-magnetic incompressible electrically conducting fluid flow and
heat transfer over a permeable stretching surface with partial slip boundary
conditions. It is assumed that the fluid viscosity and the thermal
conductivity vary as an inverse function and linear function of temperature
respectively. Using the similarity transformation, the governing system of
non-linear partial differential equations are transformed into non-linear
ordinary differential equations and are solved numerically using symbolic
software MATHEMATICA 7.0. The effects of various physical parameters on the
flow and heat transfer characteristics as well as the skin friction
coefficient and Nusselt number are illustrated graphically. The physical
aspects of the problem are highlighted and discussed
Flow and heat transfer characteristics of nanofluids in a rotating frame
The problem of unsteady MHD free convection flow of nanofluids via a porous medium bounded by a moving vertical semi-infinite permeable flat plate with constant heat source and convective boundary condition in a rotating frame of reference is studied theoretically. The velocity along the plate i.e. slip velocity is assumed to oscillate in time with constant frequency so that the solutions of the boundary layer are the same oscillatory type. The dimensionless governing equations for this investigation are solved analytically using small perturbation approximation. Two types of nanofluids, namely Cuβwater and Al2O3βwater are used. The effects of various parameters on the flow and heat transfer characteristics are discussed through graphs and tables
Radiation and melting effects on MHD boundary layer flow over a moving surface
This paper presents a mathematical analysis of MHD flow and heat transfer from a warm, electrically conducting fluid to melting surface moving parallel to a constant free stream in the presence of thermal radiation. The similarity transformation technique is used to convert the governing partial differential equations into the self-similar ordinary differential equations and then solved numerically using MATLAB BVP solver bvp4c. Numerical results for the dimensionless velocity and temperature profiles as well as for the skin friction and the Nusselt number are elucidated for different values of the pertinent parameters. Comparison with previously published work is presented and it found to be in excellent agreement
Effects of Heat and Mass Transfer on MHD Free Convection Flow Near a Moving Vertical Plate of a Radiating and Chemically Reacting Fluid
ΠΠ·ΡΡΠ°Π΅ΡΡΡ Π·Π°Π΄Π°ΡΠ° ΠΎ Π½Π΅ΡΡΠ°ΡΠΈΠΎΠ½Π°ΡΠ½ΠΎΠΌ ΡΠ²ΠΎΠ±ΠΎΠ΄Π½ΠΎ ΠΊΠΎΠ½Π²Π΅ΠΊΡΠΈΠ²Π½ΠΎΠΌ ΠΠΠ-ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΠΈ ΠΌΠ°ΡΡΠΎΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ΅ Π²ΡΠ·ΠΊΠΎΠΉ, ΡΠ»Π΅ΠΊΡΡΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΠΉ ΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈ ΡΠ΅Π°Π³ΠΈΡΡΡΡΠ΅ΠΉ Π½Π΅ΡΠΆΠΈΠΌΠ°Π΅ΠΌΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ ΠΏΡΠΈ Π½Π°Π»ΠΈΡΠΈΠΈ ΡΠ΅ΠΏΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ ΠΈ ΠΏΠΎΠ΄ Π²Π»ΠΈΡΠ½ΠΈΠ΅ΠΌ ΠΎΠ΄Π½ΠΎΡΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ, ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΏΠ΅ΡΠΏΠ΅Π½Π΄ΠΈΠΊΡΠ»ΡΡΠ½ΠΎ ΠΊ
Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠΌΡ Π²Π΅ΡΡΠΈΠΊΠ°Π»ΡΠ½ΠΎΠΌΡ ΡΠ»ΠΎΡ, ΠΊΠΎΡΠΎΡΡΠΉ Π΄Π²ΠΈΠΆΠ΅ΡΡΡ Ρ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΡΠΊΠΎΡΠΎΡΡΡΡ. ΠΡΠ½ΠΎΠ²Π½ΠΎΠΉ ΡΠ΅Π»ΡΡ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π±ΡΠ»ΠΎ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅ΡΡ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ΅ΠΏΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ, ΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ ΠΈ
ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΉ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅Π°ΠΊΡΠΈΠΈ Π½Π° ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ. ΠΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅ΡΡΡ, ΡΡΠΎΠΆΠΈΠ΄ΠΊΠΎΡΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ΅ΡΠΎΠΉ, ΠΈΠ·Π»ΡΡΠ°ΡΡΠ΅ΠΉ, ΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡΠ΅ΠΉ, Π½ΠΎ Π½Π΅ ΡΠ°ΡΡΠ΅ΠΈΠ²Π°ΡΡΠ΅ΠΉ ΡΡΠ΅Π΄ΠΎΠΉ. Π Π΅ΡΠ΅Π½ΠΈΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ
ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΎ Π² Π·Π°ΠΌΠΊΠ½ΡΡΠΎΠΉ ΡΠΎΡΠΌΠ΅ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ ΠΠ°ΠΏΠ»Π°ΡΠ°. ΠΡΠΈΠ²ΠΎΠ΄ΡΡΡΡ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΡ
Π΄Π»Ρ ΡΠΊΠΎΡΠΎΡΡΠΈ, ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ, ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΠΈ, ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ½ΠΎΠ³ΠΎ ΡΡΠ΅Π½ΠΈΡ ΠΈ ΡΠΊΠΎΡΠΎΡΡΠ΅ΠΉ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ΅ΠΏΠ»ΠΎ ΠΈ ΠΌΠ°ΡΡΠΎΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ°. ΠΠ±ΡΡΠΆΠ΄Π°ΡΡΡΡ Π½Π΅ΠΊΠΎΡΠΎΡΡΠ΅ ΠΈΠ½ΡΠ΅ΡΠ΅ΡΠ½ΡΠ΅ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²Π»Π΅Π½ΠΈΡ, Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡΠΈΠ΅ ΠΏΡΠΈ
ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΠΈΠΏΠ°Ρ
Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΡ ΡΠ»ΠΎΡ. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠ°ΠΊΠΆΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π² Π²ΠΈΠ΄Π΅ Π³ΡΠ°ΡΠΈΠΊΠΎΠ²,
ΠΊΠΎΡΠΎΡΡΠ΅ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°ΡΡ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΈ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π°ΡΠΏΠ΅ΠΊΡΡ Π·Π°Π΄Π°ΡΠΈ.The problem of unsteady MHD free convection flow and mass transfer of a viscous, electrically conducting
and chemically reacting incompressible fluid in presence of thermal radiation and under the influence of
uniform magnetic field applied normal to an infinite vertical plate, which moves with time dependent
velocity is studied. The primary purpose of this study was to characterize the effects of thermal radiative
heat transfer, magnetic field parameter, chemical reaction rate constant etc on the flow properties. The
fluid is also assumed to be gray; emitting absorbing but non scattering medium and the optically thick
radiation limit is considered. The solutions of the present problem are obtained in closed form by Laplace
transform technique and the expressions for velocity, temperature, concentration, skin friction,rate of
heat and mass transfer has been obtained. Some important applications of physical interest for different
type motion of the plate are discussed. The results obtained have also been presented numerically through
graphs to observe the effects of various parameters and the physical aspects of the problem
Simultaneous Effects of Slip Conditions and Wall Properties on MHD Peristaltic Flow of a Maxwell Fluid with Heat Transfer
The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic
flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathe-
matical formulation is based upon the modified Darcys law. The analytical solution has been derived for
the stream function and temperature under the assumptions of small wave number.The results obtained
in the analysis have been discussed numerically and explained graphically.ΠΡΠ»ΠΎ ΠΈΠ·ΡΡΠ΅Π½ΠΎ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΏΡΠΎΡΠΊΠ°Π»ΡΠ·ΡΠ²Π°Π½ΠΈΡ ΠΈ ΡΠ΅ΠΏΠ»ΠΎΠΏΠ΅ΡΠ΅Π½ΠΎΡΠ° Π½Π° Π²ΠΎΠ»Π½ΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎΠ΅ ΠΌΠ°Π³Π½ΠΈΡΠΎΠ³ΠΈΠ΄-
ΡΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ΅ (ΠΠΠ) ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΌΠ°ΠΊΡΠ²Π΅Π»Π»ΠΎΠ²ΡΠΊΠΎΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠΈ Π² ΠΏΠΎΡΠΈΡΡΠΎΠΌ ΠΏΠ»ΠΎΡΠΊΠΎΠΌ ΠΊΠ°Π½Π°Π»Π΅ Ρ ΡΠΏΡΡΠ³ΠΈ-
ΠΌΠΈ ΡΡΠ΅Π½ΠΊΠ°ΠΌΠΈ. ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠΎΡΠΌΡΠ»ΠΈΡΠΎΠ²ΠΊΠ° Π·Π°Π΄Π°ΡΠΈ ΠΎΡΠ½ΠΎΠ²Π°Π½Π° Π½Π° ΠΌΠΎΠ΄ΠΈΡΠΈΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠΌ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΈ
ΠΠ°ΡΡΠΈ. ΠΠ½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π±ΡΠ»ΠΎ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΎ Π΄Π»Ρ ΡΡΠ½ΠΊΡΠΈΠΈ ΡΠΎΠΊΠ° ΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ Π² ΠΏΡΠ΅Π΄ΠΏΠΎΠ»ΠΎΠΆΠ΅-
Π½ΠΈΠΈ ΠΌΠ°Π»ΡΡ
Π²ΠΎΠ»Π½ΠΎΠ²ΡΡ
ΡΠΈΡΠ΅Π». ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π² ΡΠΈΡΠ»Π΅Π½Π½ΠΎΠΉ ΠΈ Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ
ΡΠΎΡΠΌΠ΅
Outlining the impact of melting on MHD Casson fluid flow past a stretching sheet in a porous medium with radiation
This article focused on framing the features of melting heat transfer on magnetohydrodynamic (MHD) Casson fluid flow in a porous medium influenced by thermal radiation. The present model is employed to simulate the viscoelastic behavior of fluid in the porous regime. Firstly, the governing partial differential equations are converted into ordinary differential equations via suitable similarity transformation and then solved the developed nonlinear equations by using Runge-Kutta Fehlberg-45 order method. A detailed analysis of certain parameters on the velocity, temperature, skin friction coefficient, and reduced Nusselt number are illustrated and examined. The results indicate that enlargement in M and Ξ© decline velocity profile but an opposite trend for temperature. Furthermore, an increment in R and Me results in uphill Nusselt number. The results of the present analysis are compared with the available works in particular situations and more agreement has been observed
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