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Analytical Solution for Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Full Slip and convective conditions

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Communications in Theoretical Physics 2017年第7期67卷 96-102页

作者： Abdelhalim Ebaid Emad H. Aly K. Vajravelu Department of Mathematics Faculty of Science University of Tabuk Tabuk 71491 Saudi Arabia Department of Mathematics Faculty of Science University of Jeddah Jeddah 21589 Saudi Arabia Department of Mathematics Faculty of Education Ain Shams University Roxy 11757 Cairo Egypt Department of Mathematics Department of Mechanical Materials and Aerospace Engineering University of Central Florida Orlando FL 32816 USA

The peristaltic ttow of nanofluids is a relatively new area of research. Scientists are of the opinion that the no-slip conditions at the boundaries are no longer valid and consequently, the first and the second order slip conditions should be addressed. In this paper, the effects of slip conditions and the convective boundary conditions at the boundary walls on the peristaltic flow of a viscous nanofluid are investigated for. Also, the exact analytical solutions are obtained for the model. The obtained results are presented through graphs and discussed. The results reveal that the two slip parameters have strong effects on the temperature and the nanoparticles volume fraction profiles. Moreover, it has been seen that the temperature and nanoparticles volume fraction profiles attain certain values when the first slip condition exceeds a specified value. However, no limit value for the second slip parameter has been detected. Further, the effects of the various emerging parameters on the flow and heat transfer characteristics have been presented.

关键词： nanofluid peristaltic flow slip model convective conditions asymmetric channel

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convective heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface with heat source

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Journal of Central South University 2015年第2期22卷 717-726页

作者： T.Hayat M.Bilal Ashraf A.Alsaedi S.A.Shehzad Department of Mathematics Quaid-i-Azam University 45320Islamabad 44000 Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of MathematicsFaculty of Science King Abdulaziz University P.O.Box 80257 Jeddah 21589 Saudi Arabia

Heat and mass transfer effects in three-dimensional flow of Maxwell fluid over a stretching surface were *** was performed in the presence of internal heat generation/absorption. Concentration and thermal buoyancy effects were accounted. convective boundary conditions for heat and mass transfer analysis were explored. Series solutions of the resulting problem were developed. Effects of mixed convection, internal heat generation/absorption parameter and Biot numbers on the dimensionless velocity, temperature and concentration distributions were illustrated graphically. Numerical values of local Nusselt and Sherwood numbers were obtained and analyzed for all the physical parameters. It is found that both thermal and concentration boundary layer thicknesses are decreasing functions of stretching ratio. Variations of mixed convection parameter and concentration buoyancy parameter on the velocity profiles and associated boundary layer thicknesses are enhanced. Velocity profiles and temperature increase in the case of internal heat generation while they reduce for heat absorption. Heat transfer Biot number increases the thermal boundary layer thickness and temperature. Also concentration and its associated boundary layer are enhanced with an increase in mass transfer Biot number. The local Nusselt and Sherwood numbers have quite similar behaviors for increasing values of mixed convection parameter, concentration buoyancy parameter and Deborah number.

关键词： Maxwell fluid mixed convection convective conditions three-dimensional flow internal heat generation/absorption

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Numerical Study on 3D MHD Darcy-Forchheimer Flow Caused by Gyrotactic Microorganisms of the Bio-convective Casson Nanofluid across a Stretched Sheet

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Frontiers in Heat and Mass Transfer 2024年第1期22卷 377-395页

作者： S.H.Elhag Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia

A review of the literature revealed that nanofluids are more effective in transferring heat than conventional *** there are significant gaps in the illumination of existing methods for enhancing heat transmission in nanomaterials,a thorough investigation of the previously outlined models is *** goal of the ongoing study is to determine whether the microscopic gold particles that are involved in mass and heat transmission drift in *** current study examines heat and mass transfer on 3D MHD Darcy–Forchheimer flow of Casson nanofluid-induced bio-convection past a stretched *** inclusion of the nanoparticles is a result of their peculiar properties,such as remarkable thermal conductivity,which are important in heat exchangers and cutting-edge *** gyrotactic microorganisms must be included to prevent the potential deposition of minute *** proposed flow dynamics model consists of an evolving nonlinear system of PDEs,which is subsequently reduced to a system of dimensionless ODEs utilizing similarity *** software was utilized to create an effective code for the Runge-Kutta technique using a shooting tool to acquire numerical *** method is extensively used to solve these issues since it is accurate to fourth order,efficient,and *** influence of submerged factors on the velocity,temperature,concentration,and density of motile microorganisms is shown in the ***,tables and bar charts are used to illustrate the physical characteristics of the Nusselt and Sherwood numbers for the densities of both nanoparticles and motile *** dimensionless velocities are observed declining when the casson,magnetic,porosity,and forchheimer parameters grow,whereas the dimensionless temperature and concentration rise as the thermophoresis parameter *** work provides insights into practical applications such nanofluidic,energy conservation,friction reduction,and power

关键词： Casson fluid 3D stretching sheet convective conditions Darcy-Forchheimer Runge-Kutta-Fehlberg technique gyrotactic microorganisms

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Peristaltic flow of Williamson fluid in a convected walls channel with Soret and Dufour effects

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International Journal of Biomathematics 2016年第1期9卷 223-241页

作者： T. Hayat H. Yasmin A. Alsaedt M. Ayub Department of MathematicsQuaid-I-Azam University 45320 Islamabad 44000 Pakistan Department of Mathematics Faculty of Science King Abdulaziz University Jeddah 21589 Saudi Arabia Department of MathematicsCOMSATS Institute of Information Technology G. T. Road Wah Cantt 47040 Pakistan

Peristaltic flow of magnetohydrodynamic （MHD） Williamson fluid in a symmetric chan- nel is addressed. Modeling is given with Sorer and Dufour effects. Channel walls have compliant properties. Analysis has been carried out through long wavelength and low Reynolds number approach. The obtained series solutions for small Weissenberg number are developed. Impact of variables reflecting the salient features of wall properties, Blot numbers and Soret and Dufour on the velocity, temperature and concentration has been point out. Trapping phenomenon is also analyzed.

关键词： Williamson fluid compliant walls convective conditions Soret and Dufoureffects.

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