Numerical Scrutinization of Darcy-Forchheimer Relation in Convective Magnetohydrodynamic Nanofluid Flow Bounded by Nonlinear Stretching Surface in the Perspective of Heat and Mass Transfer.

The aim of this research is mainly concerned with the numerical examination of Darcy-Forchheimer relation in convective magnetohydrodynamic nanofluid flow bounded by non-linear stretching sheet. A visco-elastic and strictly incompressible liquid saturates the designated porous medium under the direct influence of the Darcy-Forchheimer model and convective boundary. The magnetic effect is taken uniformly normal to the flow direction. However, the model is bounded to a tiny magnetic Reynolds number for practical applications. Boundary layer formulations are taken into consideration. The so-formulated leading problems are converted into highly nonlinear ordinary problems using effectively modified transformations. The numerical scheme is applied to solve the governing problems. The outcomes stipulate that thermal layer receives significant modification in the incremental direction for augmented values of thermal radiation parameter Rd. Elevation in thermal Biot number γ1 apparently results a significant rise in thermal layer and associated boundary layer thickness. The solute Biot number is found to be an enhancing factor the concentration profile. Besides the three main profiles, the contour and density graphs are sketched for both the linear and non-linear cases. Furthermore, skin friction jumps for larger porosity and larger Forchheimer number. Both the heat and mass flux numbers receive a reduction for augmented values of the Forchheimer number. Heat flux enhances, while mass flux reduces, the strong effect of thermal Biot number. The considered problem could be helpful in any several industrial and engineering procedures, such as rolling, polymeric extrusion, continuously stretching done in plastic thin films, crystal growth, fiber production, and metallic extrusion, etc.

Analytical evaluation of Oldroyd-B nanoliquid under thermo-solutal Robin conditions and stratifications.

Chilling systems are important in the improved technological thermal mechanisms which are considered continuously in passive along with active heat-transference improvement procedures. Engineers recommended several approaches to upsurge heat transference of thermal structures. The pulsating flow, corrugated tube, magnetic field aspect and nanoliquids are the heat-transference improvement procedures delved continuously. In present research work, we addressed the heat-transference characteristics of non-Newtonian (Oldroyd-B) liquid towards heated stratified surface. Thermally radiative laminar flow is modeled. In addition, we accounted Buongiorno's nanoliquid model which includes Brownian along with thermophoretic diffusions. Modeling is further based on heat source, magnetohydrodynamics, dual stratification, thermal radiation and convective conditions. Mathematical system is simplified through boundary-layer idea. Similarity variables are reported with the aim to simplify complex mathematical system. Homotopy algorithm yields convergent results of non-dimensional expressions. Our study unveils diminution of thermal along with solutal fields when stratification factors are increased.

Evaluating the characteristics of magnetic dipole for shear-thinning Williamson nanofluid with thermal radiation.

Objective A recent evolution in fluid dynamics has been the consideration of nanoliquids which retains exceptional thermal conductivity characteristics and upsurge heat transportation in fluids. Inspired by this, the current attempt develops a nonlinear mathematical model (Williamson fluid) towards moving surface heated convectively. Formulated problem further encompasses thermophoresis, magnetic dipole, heat source, Brownian diffusion, thermal radiation and thermo-solutal convective conditions. Upshots are simulated and unveiled graphically. Drag force along with heat/mass transportation rates is addressed numerically. Method The dimensionless expressions are highly non-linear and exact/analytic computations for such expressions are not possible. Thus we employed numeric (bvp4c) scheme for solution development. Conclusions Temperature of Williamson nanofluid intesifies through larger Nb (Brownian movement) factor and Nt (thermophoretic variable). Moreover, Buongiorno relation has reverse behavior for concentration ϕ(η) of Williamson nanofluid regarding Nt and Nt. Transportation rate of heat dwindles against both Nt and Nb.

Magnetic field influence in three-dimensional rotating micropolar nanoliquid with convective conditions.

BACKGROUND: Hybrid nanoliquids have several benefits in comparison to orthodox type liquids because of their revised attributes. The enhanced rheological along with thermo-physical attributes, create them additionally apposite for systems featuring solar energy. Thus, in the current analysis, the focus retained to pursue the diversity behave by hybrid nanofluid in comparison with traditional nanofluid considering the scheme of micropolar fluid in the environment of MHD, with rotating porous channel on the exponentially stretched surface. METHODS: For the solution of the generated differential model, a numerical technique BVP-4C is applied. The information extraction is done by the graphical representations of these solutions. RESULTS: The velocity, temperature, and micro-rotation are analyzed deeply under graphical representation. For nanofluid and hybrid nanofluid, we investigated a comprehensive behavior by the variation of skin friction and Nusselt number. As a result of these explorations, we found in depth the higher rate of heat transferring in the scenario of hybrid nanofluid in comparison with nanofluid in the manifestation of porosity and rotation.

Numerical simulation of electroosmosis regulated peristaltic transport of Bingham nanofluid.

The effects of slip condition and Joule heating on the peristaltic flow of Bingham nanofluid are investigated. The flow is taken in a porous channel with elastic walls. Mathematical formulation is presented under the assumption of long wavelength and small Reynolds number. The transformed equations for the flow are solved to seek values for the nanoparticles velocity, concentration and temperature along the channel length. Graphs are plotted to evaluate the behavior of various physical parameters on flow quantities in both slip and no-slip cases. The main features of the physical parameters are highlighted on the inclined non uniform channel. The results show an increment in velocity with rise in inclination and porosity while it reduces with magnetic field. Moreover, nanofluid favors the heat transfer and decline the concentration.

Convective thermal and concentration transfer effects in hydromagnetic peristaltic transport with Ohmic heating.

The primary theme of this communication is to employ convective condition of mass transfer in the theory of peristalsis. The magnetohydrodynamic (MHD) peristaltic transport of viscous liquid in an asymmetric channel was considered for this purpose. Effects of Ohmic heating and Soret and Dufour are presented. The governing mathematical model was expressed in terms of closed form solution expressions. Attention has been focused to the analysis of temperature and concentration distributions. The graphical results are presented to visualize the impact of sundry quantities on temperature and concentration. It is visualized that the liquid temperature was enhanced with the enhancing values of Soret-Dufour parameters. The liquid temperature was reduced when the values of Biot number were larger. It is also examined that mass transfer Biot number for one wall has no impact on transfer rate. Different mass transfer Biot numbers generate a non-uniform concentration profile throughout the channel cross section.

Numerical study for MHD peristaltic flow in a rotating frame.

The aim of present investigation is to model and analyze the magnetohydrodynamic (MHD) peristaltic transport of Prandtl fluid in a channel with flexible walls. The whole system consisting of fluid and channel are in a rotating frame of reference with uniform angular velocity. Viscous dissipation in thermal equation is not ignored. The channel boundaries satisfy the convective conditions in terms of temperature. The arising complicated problems are reduced in solvable form using large wavelength and small Reynolds number assumptions. Numerical solution for axial and secondary velocities, temperature and heat transfer coefficient are presented. Main emphasis is given to the outcome of rotation and material parameters of Prandtl fluid on the physical quantities of interest.