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

Three dimensional boundary layer flow of a viscoelastic nanofluid with Soret and Dufour effects

The present research focuses on the three-dimensional flow of viscoelastic fluid in the presence of Soret and Dufour effects. Effects of thermophoresis and Brownian motion are taken into account. Appropriate similarity transformations lead to nonlinear ordinary differential equations. Solution expressions of velocity, temperature and nanoparticle concentration are computed via homotopy analysis method (HAM). Convergence of obtained solutions is analyzed graphically and numerically. Results are plotted and analyzed for the dimensionless velocities, temperature and nanoparticle concentration. Values of local Nusselt and Sherwood numbers are examined through tabular form. It is observed that Temperature field is enhanced for the larger Brownian motion parameter and an increase in Dufour number gives rise to the temperature and thermal boundary layer thickness

Heterogeneous and homogeneous reactive flow of magnetite-water nanofluid over a magnetized moving plate

This model is dedicated to visualizing the nature of magnetite-water nanoliquid induced by a permeable plate having variable magnetic effect, non-linear radiation, heterogeneous and homogeneous chemically reactive species. The system of momentum, thermal and concentration expressions is formulated and transformed from the partial to ordinary differential systems by using the adequate transforms. This highly non-linear system is solved through RKF (Runge-Kutta-Fehlberg) numerical method. Important parameters such as suction/injection, magnetic, and radiation effects as well as other relevant parameters are investigated. The graphs show that the rise in radiation parameter numerically improves the thermal distribution, implying a faster heat transfer rate. Non-linear radiation has greater effect on temperature than the linear radiation. While the volume concentration effect reveals that the friction factor increase with the enhancement of nanoparticle concentration. It is also observed that, plate velocity decreases the skin-friction but increases the wall heat transfer for both suction and blowing cases. The results indicate that the current research has a strong agreement with the relevant data in a limiting approach

Analysis of forced convective modified Burgers liquid flow considering Cattaneo-Christov double diffusion

A mathematical model is formulated to characterize the non-Fourier and Fick’s double diffusive models of heat and mass in moving flow of modified Burger’s liquid. Temperature-dependent conductivity of liquid is taken into account. The concept of stratification is utilized to govern the equations of energy and mass species. The idea of boundary layer theory is employed to obtain the mathematical model of considered physical problem. The obtained partial differential system is converted into ordinary ones with the help of relevant variables. The homotopic concept lead to the convergent solutions of governing expressions. Convergence is attained and acceptable values are certified by expressing the so called ℏ-curves and numerical benchmark. Several graphs are made for different values of physical constraints to explore the mechanism of heat and mass transportation. We explored that the liquid temperature and concentration are retard for the larger thermal/concentration relaxation time constraint. Keywords: Cattaneo-Christov model, Burgers liquid, Temperature-dependent conductivity, Stratification, Stagnation point flo

Unsteady stagnation point flow of second grade fluid with variable free stream

This article discusses the stagnation-point flow of second grade fluid over an unsteady stretching surface in the presence of variable free stream. Flow analysis has been carried out with heat transfer analysis. The resulting partial differential equations have been converted into ordinary differential equations by employing the suitable transformations. Computations of dimensionless velocity and temperature fields have been performed by using homotopy analysis method (HAM). Graphs are plotted to examine the behaviors of arising physical parameters on the dimensionless velocity and temperature. Numerical values of skin-friction coefficient and local Nusselt number are computed and examined

Enhancement of radiation on hydromagnetic Casson fluid flow towards a stretched cylinder with suspension of liquid-particles

The presence of dust particles is involved in many engineering and industrial processes like transport of petroleum, emission of smoke from vehicles, piping of power plants, treatment of waste-water and corrosive particles in mining. Due to such importance of this phenomenon, we considered the Casson liquid flow past a stretching hollow cylinder with fluid-particle suspension and convective boundary condition aspects. Numerical solution is obtained via shooting techniques after the applying of similarity variables to the governing partial equations. Key parameters of problem are discussed through graphs. It is noticed that the clean fluid temperature is always higher values as compared to dust fluid and also presence of radiation enhanced the temperature at the surface.The accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author

Soret and Dufour effects on the mixed convection flow of an Oldroyd-B fluid with convective boundary conditions

This paper investigates the effects of heat and mass transfer in the mixed convection flow of an Oldroyd-B fluid over a stretching surface with convective boundary conditions. Emphasis is given to the analysis of Soret and Dufour effects. Relevant problems are first formulated and then computed by homotopy analysis method (HAM). Soret and Dufour effects are considered. Velocity, temperature and concentration fields are given. In addition, the local Nusselt and Sherwood numbers are examined through numerical values. Keywords: Soret and Dufour effects, Mixed convection flow, Oldroyd-B fluid, Convective boundary conditio

Doubly stratified MHD tangent hyperbolic nanofluid flow due to permeable stretched cylinder

An investigation is exhibited to analyze the presence of heat source and sink in doubly stratified MHD incompressible tangent hyperbolic fluid due to stretching of cylinder embedded in porous space under nanoparticles. To develop the mathematical model of tangent hyperbolic nanofluid, movement of Brownian and thermophoretic are accounted. The established equations of continuity, momentum, thermal and solutal boundary layers are reassembled into sets of non-linear expressions. These assembled expressions are executed with the help of Runge-Kutta scheme with MATLAB. The impacts of sundry parameters are illustrated graphically and the engineering interest physical quantities like skin friction, Nusselt and Sherwood number are examined by computing numerical values. It is clear that the power-law index parameter and curvature parameter shows favorable effect on momentum boundary layer thickness whereas Weissennberg number reveals inimical influence. Keywords: MHD, Tangent hyperbolic fluid, Heat source/sink, Nanoparticle

Nonlinear 3D flow of Casson-Carreau fluids with homogeneous–heterogeneous reactions: A comparative study

Nonlinear convective flow of magneto-Carreau-Casson liquids past a deformable surface under the aspects of heterogeneous and homogeneous reactions is investigated. The present phenomenon also included the interaction of nonlinear radiation, Ohmic and Joule dissipations. At moderate to high temperature, the nonlinear convection and radiation are significant. The governed nonlinear system is illustrated numerically via Runge-Kutta based shooting scheme in the domain [0,∞). Role of significant parameters on flow fields as well as on the fiction factor, heat and mass transportation rates are determined and discussed in depth. Comparison is done for distinct flow fields of Carreau and Casson fluids. It is evaluated that the velocities of Casson liquid are higher in comparison to Carreau fluid model. However, liquid temperature for Casson fluid model is weaker in comparison to Carreau fluid. Keywords: Carreau fluid, Casson fluid, Nonlinear thermal radiation: Nonlinear convection, Homogeneous–heterogeneous reactio