Jeffrey Nanofluid Research Articles

Convective flow of Jeffrey nanofluid due to two stretchable rotating disks

Present analysis investigates the convective flow of Jeffrey nanofluid between two rotating stretchable disks. Effects of nanofluid flow are scrutinized with magnetohydrodynamics. Characteristics of heat transfer are examined in the presence of Joule heating. The relevant system is transformed to highly nonlinear ordinary differential equations by using suitable transformations. Graphical representation of convergent series solutions is obtained to analyze the results more efficiently. Influence of significantly involved parameters on velocity, temperature and concentration is tested. Radial velocity profile has parabolic behavior for certain considered parameters. Effects of some relevant parameters on heat transfer rate are also tabulated. It is noted that heat transfer rate at lower disk rises for increasing Reynolds number and ratio of relaxation to retardation times.

MHD Boundary Layer Flow and Heat Transfer of Jeffrey Nanofluid Over an Unsteady Shrinking Sheet with Partial Slip

MHD Boundary Layer Flow and Heat Transfer of Jeffrey Nanofluid Over an Unsteady Shrinking Sheet with Partial Slip

Combined Effect of Joule Heating and Viscous Dissipation on MHD Three Dimensional Flow of a Jeffrey Nanofluid

Combined Effect of Joule Heating and Viscous Dissipation on MHD Three Dimensional Flow of a Jeffrey Nanofluid

A revised model for Jeffrey nanofluid subject to convective condition and heat generation/absorption

Here magnetohydrodynamic (MHD) boundary layer flow of Jeffrey nanofluid by a nonlinear stretching surface is addressed. Heat generation/absorption and convective surface condition effects are considered. Novel features of Brownian motion and thermophoresis are present. A non-uniform applied magnetic field is employed. Boundary layer and small magnetic Reynolds number assumptions are employed in the formulation. A newly developed condition with zero nanoparticles mass flux is imposed. The resulting nonlinear systems are solved. Convergence domains are explicitly identified. Graphs are analyzed for the outcome of sundry variables. Further local Nusselt number is computed and discussed. It is observed that the effects of Hartman number on the temperature and concentration distributions are qualitatively similar. Both temperature and concentration distributions are enhanced for larger Hartman number.

Viscous Dissipation and Thermal Radiation effects in MHD flow of Jeffrey Nanofluid through Impermeable Surface with Heat Generation/Absorption

AbstractThis paper investigates steady two dimensional flow of an incompressible magnetohydrodynamic (MHD) boundary layer flow and heat transfer of nanofluid over an impermeable surface in presence of thermal radiation and viscous dissipation. By using similarity transformation, the arising governing equations of momentum, energy and nanoparticle concentration are transformed into coupled nonlinear ordinary differential equations, which are than solved by homotopy analysis method (HAM). The effect of different physical parameters, namely, Prandtl number Pr, Eckert number

Influence of nonlinear thermal radiation and viscous dissipation on three-dimensional flow of Jeffrey nano fluid over a stretching sheet in the presence of Joule heating

AbstractPresent exploration discusses the combined effect of viscous dissipation and Joule heating on three dimensional flow and heat transfer of a Jeffrey nanofluid in the presence of nonlinear thermal radiation. Here the flow is generated over bidirectional stretching sheet in the presence of applied magnetic field by accounting thermophoresis and Brownian motion of nanoparticles. Suitable similarity transformations are employed to reduce the governing partial differential equations into coupled nonlinear ordinary differential equations. These nonlinear ordinary differential equations are solved numerically by using the Runge–Kutta–Fehlberg fourth–fifth order method with shooting technique. Graphically results are presented and discussed for various parameters. Validation of the current method is proved by comparing our results with the existing results under limiting situations. It can be concluded that combined effect of Joule and viscous heating increases the temperature profile and thermal boundary layer thickness.

On MHD radiative Jeffery nanofluid flow with convective heat and mass boundary conditions

The prime objective of present exploration is to study effects of magnetohydrodynamic, Joule heating and thermal radiation on an incompressible Jeffrey nanofluid flow over a linearly stretched surface. Simultaneous effects of convective heat and mass boundary conditions are also considered. Obtained system of boundary layer equations is converted into ordinary differential equations with high linearity using appropriate transformations. Analytical solutions via homotopy analysis method are obtained and deliberated accordingly. Discussion of graphs pertaining different prominent parameters is also added. Numerical values of skin friction coefficient, local Nusselt and Sherwood numbers are also given and well deliberated. It is noted that higher values of thermophoretic parameter boost temperature and concentration distributions. Moreover, temperature field is an increasing function of radiation parameter.

Mechanisms of nonlinear convective flow of Jeffrey nanofluid due to nonlinear radially stretching sheet with convective conditions and magnetic field

Mathematical modeling for magnetohydrodynamic (MHD) nonlinear convective flow of Jeffrey nanofluid over a nonlinear stretching sheet is introduced. Effect of thermal radiation is considered. Phenomena of heat and mass transfer is based through involvement of convective conditions. The Brownian motion and thermophoresis effects are deliberated in energy and concentration expressions. Dimensional nonlinear systems for momentum, energy and concentration are converted into dimensionless systems by invoking appropriate variables. Series solutions are acquired through convergence domains. Behavior of various physical variables on velocity, temperature and nanoparticle concentration are scrutinized graphically. Skin friction coefficient, local Nusselt and Sherwood numbers are calculated through numerical values. It is concluded that velocity field enhances for Deborah number while reverse situation is noticed regarding power index. Temperature and heat transfer rate are enhanced via thermal radiation. Moreover impact of Brownian motion on the concentration and local Sherwood number are quite reverse.

Active and passive controls of Jeffrey nanofluid flow over a nonlinear stretching surface

Abstract This communication explores magnetohydrodynamic (MHD) boundary-layer flow of Jeffrey nanofluid over a nonlinear stretching surface with active and passive controls of nanoparticles. A nonlinear stretching surface generates the flow. Effects of thermophoresis and Brownian diffusion are considered. Jeffrey fluid is electrically conducted subject to non-uniform magnetic field. Low magnetic Reynolds number and boundary-layer approximations have been considered in mathematical modelling. The phenomena of impulsing the particles away from the surface in combination with non-zero mass flux condition is known as the condition of zero mass flux. Convergent series solutions for the nonlinear governing system are established through optimal homotopy analysis method (OHAM). Graphs have been sketched in order to analyze that how the temperature and concentration distributions are affected by distinct physical flow parameters. Skin friction coefficient and local Nusselt and Sherwood numbers are also computed and analyzed. Our findings show that the temperature and concentration distributions are increasing functions of Hartman number and thermophoresis parameter.

Analysis of heat transfer for unsteady MHD free convection flow of rotating Jeffrey nanofluid saturated in a porous medium

In this article, the influence of thermal radiation on unsteady magnetohydrodynamics (MHD) free convection flow of rotating Jeffrey nanofluid passing through a porous medium is studied. The silver nanoparticles (AgNPs) are dispersed in the Kerosene Oil (KO) which is chosen as conventional base fluid. Appropriate dimensionless variables are used and the system of equations is transformed into dimensionless form. The resulting problem is solved using the Laplace transform technique. The impact of pertinent parameters including volume fraction φ, material parameters of Jeffrey fluid λ1, λ, rotation parameter r, Hartmann number Ha, permeability parameter K, Grashof number Gr, Prandtl number Pr, radiation parameter Rd and dimensionless time t on velocity and temperature profiles are presented graphically with comprehensive discussions. It is observed that, the rotation parameter, due to the Coriolis force, tends to decrease the primary velocity but reverse effect is observed in the secondary velocity. It is also observed that, the Lorentz force retards the fluid flow for both primary and secondary velocities. The expressions for skin friction and Nusselt number are also evaluated for different values of emerging parameters. A comparative study with the existing published work is provided in order to verify the present results. An excellent agreement is found.

Analytical approach to a Jeffrey nanofluid flow towards a Stagnation point coexisting with Magnetic field and Melting heat effects

Abstract The area of this research reveals the heat and mass transport of a Jeffrey nanofluid in the direction of a stagnation point coexisting with magnetic field and melting heat transport. The fundamental PDEs are converted to a set of nonlinear ODEs with the guidance of some appropriate similarity transformations. The result is gained analytically by Differential Transformation method (DTM) and a comparison with the numerical solutions obtained by Runge-Kutta Gill based shooting procedure is framed. Numerical outcomes for non-dimensional temperature, nanoparticle concentration, Nusselt number and Sherwood number for different parameters indulging the flow are offered through charts and figures. In occurrence of a magnetic flux, the melting heat effect enhances nanoparticle concentration distribution, whereas the reverse effect is noticed for temperature. Nusselt number falls with Thermophoresis and melting heat transport, while Sherwood number rises with magnetic field and stretching ratio of the sheet.

Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism

In this article, simultaneous effects of coagulation (blood clot) and variable magnetic field on peristaltically induced motion of non-Newtonian Jeffrey nanofluid containing gyrotactic microorganism through an annulus have been studied. The effects of an endoscope also taken into consideration in our study as a special case. The governing flow problem is simplified by taking the approximation of long wavelength and creeping flow regime. The resulting highly coupled differential equations are solved analytically with the help of perturbation method and series solution have been presented up to second order approximation. The impact of all the sundry parameters is discussed for velocity profile, temperature profile, nanoparticle concentration profile, motile microorganism density profile, pressure rise and friction forces. Moreover, numerical integration is also used to evaluate the expressions for pressure rise and friction forces for outer tube and inner tube. It is found that velocity of a fluid diminishes near the walls due to the increment in the height of clot. However, the influence of magnetic field depicts opposite behavior near the walls.

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

The present communication examines the magnetohydrodynamic (MHD) squeezing flow of Jeffrey nanofluid between two parallel disks. Constitutive relations of Jeffrey fluid are employed in the problem development. Heat and mass transfer aspects are examined in the presence of thermophoresis and Brownian motion. Jeffrey fluid subject to time dependent applied magnetic field is conducted. Suitable variables lead to a strong nonlinear system. The resulting systems are computed via homotopic approach. The behaviors of several pertinent parameters are analyzed through graphs and numerical data. Skin friction coefficient and heat and mass transfer rates are numerically examined.

Mixed convection flow of jeffrey nanofluid with thermal radiation and double stratification

This article addresses the two-dimensional laminar boundary layer flow of magnetohydrodynamic (MHD) Jeffrey nanofluid with mixed convection. Effects of thermal radiation, thermophoresis, Brownian motion and double stratifications are taken into account. Rosseland's approximation is utilized for the thermal radiation phenomenon. Convergent series solutions of velocity, temperature and nanoparticle concentration are developed. Graphs of dimensionless temperature and nanoparticle concentration are presented to investigate the influences of different emerging parameters. The values of skin-friction coefficient, local Nusselt and Sherwood numbers are computed and discussed for both Jeffrey and viscous fluids cases. We have observed that the temperature profile retarded for the larger values of Deborah number while an enhancement is noticed with the increasing values of ratio of relaxation to retardation times. Increasing values of thermal and nanoparticle concentration stratifications lead to a reduction in the temperature and nanoparticle concentration. The values of local Nusselt and Sherwood numbers are larger for the viscous fluid case when compared with Jeffrey fluid.

An Unsteady Magnetohydrodynamic Jeffery Nanofluid Flow Over a Shrinking Sheet with Thermal Radiation and Convective Boundary Condition Using Spectral Quasilinearisation Method

We investigate the combined effects of a magnetic field and a convective boundary condition on unsteady Jeffrey nanofluid flow over a shrinking sheet with thermal radiation and heat generation. The effects of several important factors such as particle size and shape, the clustering of particles and the effective thermal conductivity of nanofluids has not been studied adequately. It is important for more research so as to ascertain the effects of these factors on the thermal conductivity of a wide range of nanofluids. The non-dimensional governing equations are derived and solved using a spectral quasilinearisation method. Among other findings, we show that thermal radiation enhances both the temperature and concentration profiles. Furthermore, the effects of different physical parameters on the flow velocity, temperature and concentration profiles are shown graphically and discussed in detail. Comparison with previously published work shows an excellent agreement.

Magnetohydrodynamic peristaltic transport of Jeffrey nanofluid in an asymmetric channel

In the present paper, the combined effects of magnetic field, buoyancy forces, thermophoresis and Brownian motion on the peristaltic flow of an incompressible Jeffrey nanofluid through an asymmetric channel have been studied under the long wavelength and low Reynolds number approximation. The resultant dimensionless nonlinear governing equations have been tackled numerically using Runge-Kutta-Fehlberg integration scheme. The computed results for nanofluid velocity, temperature and concentration fields are utilized to determine the skin friction, Nusselt number and Sherwood number. Pertinent results are displayed graphically with respect to the effects of various thermophysical parameters and the physical aspects are discussed. It is found that both velocity and nanoparticles concentration decrease while the temperature increases with an increase in the strength of magnetic field. An increase in the phase angle also decreases the magnitude of the velocity.

Enhanced heat transfer in liquid thin film flow of non-Newtonian nanofluids embedded with graphene nanoparticles

Recent days, graphene is emanating as one of the most encouraging nanomaterials due to its continuous electrical conducting behaviour even at zero carrier concentrations. Heat transfer in non-Newtonian fluids plays a major role in technology and in nature due to its stress relaxation, shear thinning and thickening properties. With this incentive, we investigate the flow and heat transfer characteristics of electrically conducting liquid film flow of water based non-Newtonian nanofluids dispensed with graphene nanoparticles. For this investigation, we proposed a mathematical model for the flow of Jeffrey, Maxwell and Oldroyd-B nanofluids past a stretching surface in the presence of transverse magnetic field and non-uniform heat source/sink. Numerical results are carried out by employing Runge-Kutta-Felhberg integration scheme. The influence of pertinent parameters on reduced Nusselt number, friction factor, flow and heat transfer is discussed with the assistance of graphs. Embedding the graphene nanoparticles effectively enhances the thermal conductivity of Jeffrey nanofluid when compared with the Oldroyd-B and Maxwell nanofluids. Deborah number in terms of relaxation time plays a major role in convective heat transfer.

Free convective heat and mass transfer of MHD non-Newtonian nanofluids over a cone in the presence of non-uniform heat source/sink

This is a theoretical investigation on the Brownian motion and thermophoresis effects on the flow, heat and mass transfer in magnetohydrodynamic Jeffrey, Maxwell and Oldroyd-B nanofluids over a cone in the presence of non-uniform heat source/sink effects and variable magnetic fields. The transformed systems of nonlinear ordinary differential equations are solved numerically. Buongiorno's two-component heterogeneous model is used for the nanofluids in the hypothesis that nanoparticles have slip velocity relative to the base fluid, originating from the Brownian motion and thermophoresis. The effects of various non-dimensional governing parameters on the flow, heat and mass transfer are discussed with the help of graphs and tables. A good agreement is obtained between the present results and the ones exist in literature. It is observed that Maxwell nanofluid is highly influenced by the magnetic field while compared with the Jeffrey and Oldroyd-B nanofluids. In addition, the non-uniform heat source/sink parameter acts like a major controlling parameter of the nanofluid flow and heat transfer rate. Furthermore, the heat transfer rate of Jeffrey nanofluid is significantly stronger than the one of Oldroyd-B and Maxwell nanofluids.

Momentum and heat transfer behaviour of Jeffrey, Maxwell and Oldroyd-B nanofluids past a stretching surface with non-uniform heat source/sink

Abstract In this paper, we proposed a new mathematical model for investigating the momentum and heat transfer behaviour of Jeffrey, Maxwell and Oldroyd-B nanofluids over a stretching surface in the presence of transverse magnetic field, non-uniform heat source/sink, thermal radiation and suction effects. The governing boundary layer partial differential equations are transformed into nonlinear ordinary differential equations by using similarity transformation and solved numerically by using Runge–Kutta based shooting technique. The effects of non-dimensional governing parameters on the flow and heat transfer are discussed with the help of graphs. Numerical values of the skin friction coefficient and the local Nusselt number are computed and discussed. We found an excellent agreement of the present results by comparing with the published results. Results indicate that the Jeffrey nanofluid has better heat transfer performance while compared with the Maxwell and Oldroyd-B nanofluids.

Radiative Peristaltic Flow of Jeffrey Nanofluid with Slip Conditions and Joule Heating.

Mixed convection peristaltic flow of Jeffrey nanofluid in a channel with compliant walls is addressed here. The present investigation includes the viscous dissipation, thermal radiation and Joule heating. Whole analysis is performed for velocity, thermal and concentration slip conditions. Related problems through long wavelength and low Reynolds number are examined for stream function, temperature and concentration. Impacts of thermal radiation, Hartman number, Brownian motion parameter, thermophoresis, Joule heating and slip parameters are explored in detail. Clearly temperature is a decreasing function of Hartman number and radiation parameter.