Here two classes of viscoelastic fluids have been analyzed in the presence of Cattaneo-Christov double diffusion expressions of heat and mass transfer. A linearly stretched sheet has been used to ...create the flow. Thermal and concentration diffusions are characterized firstly by introducing Cattaneo-Christov fluxes. Novel features regarding Brownian motion and thermophoresis are retained. The conversion of nonlinear partial differential system to nonlinear ordinary differential system has been taken into place by using suitable transformations. The resulting nonlinear systems have been solved via convergent approach. Graphs have been sketched in order to investigate how the velocity, temperature and concentration profiles are affected by distinct physical flow parameters. Numerical values of skin friction coefficient and heat and mass transfer rates at the wall are also computed and discussed. Our observations demonstrate that the temperature and concentration fields are decreasing functions of thermal and concentration relaxation parameters.
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.
•MHD three-dimensional flow of viscous nanofluid is modeled.•Flow is induced due to a rotating disk.•Nanofluid model consists of Brownian diffusion and thermophoresis.•Velocity, temperature and ...concentration slip conditions are utilized.•Numerical solutions are developed by NDSolve technique.
Here MHD three-dimensional flow of viscous nanoliquid by a rotating disk with heat generation/absorption and slip effects is addressed. Thermophoresis and random motion features are also incorporated. Velocity, temperature and concentration slip conditions are imposed at boundary. Applied magnetic field is utilized. Low magnetic Reynolds number and boundary layer approximations have been employed in the problem formulation. Suitable transformations lead to strong nonlinear ordinary differential system. The obtained nonlinear system is solved numerically through NDSolve technique. Graphs have been sketched in order to analyze that how the velocity, temperature and concentration fields are affected by various pertinent variables. Moreover the numerical values for rates of heat and mass transfer have been tabulated and discussed.
This article investigates the magnetohydrodynamic (MHD) three-dimensional flow of couple stress nanofluid subject to the convective boundary condition. Flow is generated due to a nonlinear stretching ...of the surface in two lateral directions. Temperature and nanoparticles concentration distributions are studied through the Brownian motion and thermophoresis effects. Couple stress fluid is considered electrically conducting through a non-uniform applied magnetic field. Mathematical formulation is developed via boundary layer approach. Nonlinear ordinary differential systems are constructed by employing suitable transformations. The resulting systems have been solved for the convergent series solutions of velocities, temperature and nanoparticles concentration profiles. Graphs are sketched to see the effects of different interesting flow parameters on the temperature and nanoparticles concentration distributions. Numerical values are computed to analyze the values of skin-friction coefficients and Nusselt number.
This article investigates entropy production in three-dimensional hydromagnetic rotating flow of nanoliquid with binary chemical mechanism and activation energy impacts. Brownian dispersion and ...thermophoresis effects are taken into account. Bejan number and entropy production are analyzed through the existence of porous medium, viscous dissipation, magnetic field, thermal radiation and heat source/sink. Velocity slip, convective heat and mass conditions are imposed at the boundary. The nonlinear equations are developed through transformation scheme. Shooting method is utilized to generate the solutions of resulting nonlinear expressions. Salient behaviors of several pertinent variables on velocities, nanoconcentration, entropy production, Bejan number and temperature distributions are examined graphically. Further surface drag forces, heat and mass transfer rates are graphically analyzed via different flow variables. It is observed that heat transfer rate significantly enhances for the higher values of thermal Biot number while an opposite behavior is noted against higher thermophoresis parameter.
•Three-dimensional boundary layer flow of Carreau nanofluid is modeled.•Flow saturating porous medium obeys Darcy-Forchheimer relation.•Nanofluid model consists of Brownian diffusion and ...thermophoresis.•Thermal convective and zero nanoparticles mass flux conditions are implemented.•Series solutions are obtained through optimal homotopy analysis method (OHAM).
Darcy-Forchheimer three dimensional flow of Carreau nanoliquid induced by a linearly stretchable surface with convective boundary condition has been analyzed. Buongiorno model has been employed to elaborate thermophoresis and Brownian diffusion effects. Zero nanoparticles mass flux and convective surface conditions are implemented at the boundary. The governing problems are nonlinear. Optimal homotopic procedure has been used to tackle the governing mathematical system. Graphical results clearly depict the outcome of temperature and concentration fields. Surface drag coefficients and local Nusselt number are also plotted and discussed.
•Three-dimensional flow of Prandtl fluid is modeled.•Flow is induced by a bidirectional linear stretching surface.•Cattaneo-Christov double diffusion expressions are considered.•Series solutions are ...obtained by optimal homotopy analysis method (OHAM).
This research paper intends to investigate the 3D flow of Prandtl liquid in the existence of improved heat conduction and mass diffusion models. Flow is created by considering linearly bidirectional stretchable sheet. Thermal and concentration diffusions are considered by employing Cattaneo-Christov double diffusion models. Boundary layer approach has been used to simplify the governing PDEs. Suitable nondimensional similarity variables correspond to strong nonlinear ODEs. Optimal homotopy analysis method (OHAM) is employed for solutions development. The role of various pertinent variables on temperature and concentration are analyzed through graphs. The physical quantities such as surface drag coefficients and heat and mass transfer rates at the wall are also plotted and discussed. Our results indicate that the temperature and concentration are decreasing functions of thermal and concentration relaxation parameters respectively.
•Nanofluid flow due to a nonlinear curved stretching surface is modeled.•Nanofluid model consists of Brownian motion and thermophoresis.•Convective heat and mass boundary conditions are ...utilized.•Numerical solutions are developed through the shooting technique.
This article presents the simultaneous effects of convective heat and mass conditions in boundary-layer flow of nanoliquid due to a nonlinear curved stretching surface. A nonlinear curved stretching surface is used to generate the flow. Thermophoretic diffusion and random motion features are also incorporated. Convective heat and mass conditions are imposed at boundary. Suitable variables are utilized to convert the nonlinear partial differential system into nonlinear ordinary differential system. The obtained nonlinear systems are solved numerically through shooting technique. Plots are displayed in order to explore the role of physical flow variables on the solutions. The skin-friction coefficient and local Nusselt and Sherwood numbers are computed and examined. Our findings indicate that the local Nusselt and Sherwood numbers are reduced for larger values of thermophoresis parameter.
•Flow of Jeffrey nanofluid is modeled.•Nonlinear stretching surface cause the flow.•Results are obtained for both active and passive controls of nanoparticles.•Brownian motion and thermophoresis ...effects are involved.•Developed series solutions are by optimal homotopy analysis method (OHAM).
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.
Present work describes the peristaltic flow of Sisko nanomaterial with bioconvection and gyrotactic microorganisms. Slip conditions are incorporated through elastic channel walls. Additionally, we ...considered the aspects of thermal radiation and viscous dissipation. Further ohmic heating features are also present in the thermal field. Buongiorno's nanofluid model comprising thermophoresis and Brownian movement is taken. The lubrication approach is utilized for the simplification of the problem. Being highly coupled and nonlinear, the resulting system of equations must be solved numerically using the NDSolve technique and bvp4c via Matlab. Velocity, concentration, thermal field and motile microorganisms. are addressed graphically.
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