Numerical simulation for magnetized transport of hybrid nanofluids with exponential space-based heat source

2021 ◽  
Author(s):  
M. S. Alqarni ◽  
Hassan Waqas ◽  
Sumeira Yasmin ◽  
Taseer Muhammad
Keyword(s):  
Heat Source ◽  
Propylene Glycol ◽  
Volume Fraction ◽  
Numerical Data ◽  
Temperature Dependent Viscosity ◽  
Nonlinear Odes ◽  
Highly Nonlinear ◽  
Nanoparticles Volume Fraction ◽  
Dependent Viscosity ◽  
Exponential Space

The prime aim of this investigation is to discuss the two-dimensional steady analysis of hybrid nanoliquids in the existence of magnetohydrodynamics (MHD), thermally radiation and viscous dissipation effects over a linear stretchable sheet. Carbon nanotubes (SWCNT and MWCNT) with copper (Cu) are comprised in the propylene glycol-based fluid. The significance of propylene glycol-based fluid is affected under the exponential space-based heat source phenomenon. The remarkable role of propylene glycol on thermal transport of hybrid nanoliquids is influenced in the presence of temperature-dependent viscosity. The highly nonlinear governing partial differential structures are reduced to nonlinear ODEs by using suitable transformations. The transformed nonlinear ODEs of flow problem have been solved numerically by employing bvp4c (shooting) scheme with Lobatto-IIIA formula in MATLAB. The physical outcomes of involved parameters are obtained by utilizing the graphical and tabular data. The heat transport rate and the skin friction under the numerical data are also presented. From the results, we concluded that the velocity of fluid is declined for higher nanoparticles volume fraction. Velocity of fluid is declined with growing magnetic parameter. Furthermore, the temperature is upgraded with the growing thermal Biot number.

scholarly journals Mixed convective flow of CNTs nanofluid subject to varying viscosity and reactions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Zakir Hussain ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi ◽  
Muhammad Shoaib Anwar
Keyword(s):  
Volume Fraction ◽  
Nonlinear Differential Equations ◽  
Temperature Dependent Viscosity ◽  
Highly Nonlinear ◽  
Higher Temperature ◽  
Mixed Convective Flow ◽  
Swcnts And Mwcnts ◽  
Dependent Viscosity ◽  
The Relationship ◽  
Varying Viscosity

AbstractThe addressed work explains SWCNTs (Single walled carbon nanotubnes) and MWCNTs (Multi walled carbon nanotubnes) nanofluid flow under the influences of temperature dependent viscosity and mixed convection. Comparative study of SWCNTs and MWCNTs suspended in base liquid is presented. Further heat and mass transfer are addressed for nanofluid effected by radiation, heat generation/absorption and diffusion species. Mathematical development of problem is taken in cylindrical coordinates. System of highly nonlinear differential equations are constructed via appropriate transformations. The system of equations are tackled numerically by bvp4c MATLAB solver. The findings of the study show that larger volume fraction $$\left( \phi \right)$$ ϕ contributes to enhance the nanoliquid flow. The velocity by submerging MWCNTs is noted higher than SWCNTs. Furthermore, the relationship between the viscosity variable $$\left( \theta _{r}\right)$$ θ r and the temperature is such that the temperature near the surface decreases with increase in $$\left( \theta _{r}\right)$$ θ r , while at the same time the temperature away from the surface increases. Subsequently, higher temperature is observed in SWCNTs-liquid compared to the MWCNTs-liquid to the similar values of $$\left( \theta _{r}\right)$$ θ r . Further, heat transfer is an increasing function of varying viscosity variable $$\left( \theta _{r}\right)$$ θ r .

scholarly journals Effects of Second-Order Slip Flow and Variable Viscosity on Natural Convection Flow of CNTs − Fe 3 O 4 /Water Hybrid Nanofluids due to Stretching Surface

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Ayele Tulu ◽  
Wubshet Ibrahim
Keyword(s):  
Volume Fraction ◽  
Local Heat Transfer ◽  
Velocity Slip ◽  
Local Heat ◽  
Second Order ◽  
Hybrid Nanoparticles ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Hybrid Nanofluids ◽  
Dependent Viscosity

This study deals with natural convection unsteady flow of CNTs − Fe 3 O 4 /water hybrid nanofluids due to stretching surface embedded in a porous medium. Both hybrid nanoparticles of SWCNTs − Fe 3 O 4 and MWCNTs − Fe 3 O 4 are used with water as base fluid. Effects of hybrid nanoparticles volume friction, second-order velocity slip condition, and temperature-dependent viscosity are investigated. The governing problem of flow is solved numerically employing spectral quasilinearization method (SQLM). The results are presented and discussed via embedded parameters using graphs and tables. The results disclose that the thermal conductivity of CNTs − Fe 3 O 4 / H 2 O hybrid nanofluids is higher than that of CNTs − H 2 O nanofluids with higher value of hybrid nanoparticle volume fraction. Also, the results show that momentum boundary layer reduces while the thermal boundary layer gros with higher values of temperature-dependent viscosity and second-order velocity slip parameters. The skin friction coefficient improves, and the local heat transfer rate decreases with higher values of nanoparticle volume fraction, temperature-dependent viscosity, and second-order velocity slip parameters. Furthermore, more skin friction coefficients and lower local heat transfer rate are reported in the CNTs − Fe 3 O 4 / H 2 O hybrid nanofluid than in the CNTs − H 2 O nanofluid. Thus, the obtained results are promising for the application of hybrid nanofluids in the nanotechnology and biomedicine sectors.

Implication of Bio-convective Marangoni flow of non-Newtonian material towards an infinite disk subject to exponential space-based heat source

2021 ◽  
pp. 2150252
Author(s):  
Hassan Waqas ◽  
Sumeira Yasmin ◽  
Sami Ullah Khan ◽  
Sumaira Qayyum ◽  
M. Ijaz Khan ◽  
...  
Keyword(s):  
Activation Energy ◽  
Heat Source ◽  
Energy Parameter ◽  
Lewis Number ◽  
Polymer Processing ◽  
Source Parameter ◽  
Nonlinear Thermal Radiation ◽  
Marangoni Flow ◽  
Nonlinear Odes ◽  
Exponential Space

In recent years, the research for enhanced thermal transportation is centered around the utilization of nanostructures to avail the prospective benefits in areas of biomedical, metallurgy, polymer processing, mechanical and electrical engineering applications, food processing, ventilation, heat storage devices, nuclear systems cooling, electronic devices, solar preoccupation, magnetic sticking, bioengineering applications, etc. The thermal aspects of nanoliquids and associated dynamics properties are still necessary to be explored. In this thermal contribution, the flow of Casson nanofluid configured by an infinite disk is analyzed. The significance of Marangoni flow with activation energy, thermal and exponential space-dependent heat source, nonlinear thermal radiation and Joule heating impacts is also incorporated. Similarly, variables are affianced to recast the governing flow expressions into highly coupled nonlinear ODEs. The numerical simulation for the prevailing model is elucidated by applying the bvp4cbuilt-in function of computational commercial software MATLAB. Consequences of sundry parameters, namely, magnetic parameter, Prandtl number, radiation parameter, exponential space-dependent heat source parameter, thermal-dependent heat source parameter, Eckert number, Dufour parameter, Soret number, Schmidt number, Marangoni number and Marangoni ratio parameter, mixed convection parameter, buoyancy ratio parameter, bioconvection Rayleigh number, activation energy parameter, thermophoresis parameter, Brownian motion parameter, bioconvection Lewis number, Peclet number microorganisms difference variable versus involved flow profiles like velocity, temperature, concentration of nanoparticles and microorganism field are obtained and displayed through graphs and tabular data.

Crosswise stream of methanol–iron oxide (CH3OH–Fe3O4) with temperature-dependent viscosity and suction/injection effects

2019 ◽  
Vol 233 (5) ◽  
pp. 1013-1023 ◽  
Author(s):  
Rabil Tabassum ◽  
R Mehmood
Keyword(s):  
Heat Transfer ◽  
Volume Fraction ◽  
Treatment Plant ◽  
Exponential Model ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Coating Materials ◽  
Similarity Transformations ◽  
Dependent Viscosity ◽  
Energy Equations

Manufacturing of modern coating materials doped with magnetic nanoparticles has arisen as an exciting new area of materials processing fluid dynamics. Methanol is primarily used in chemical manufacturing, specialized vehicles fuel, energy carrier, as an antifreeze in pipelines, in wastewater treatment plant, and many more. In this article, a mathematical model is therefore developed to study crosswise flow of methanol-based ferromagnetic fluid through a permeable medium with suction/injection effects. Temperature-dependent viscosity is taken with Reynolds exponential model. The Tiwari–Das and Maxwell–Garnett nanofluid models are used, which alters the electrical conductivity, density, and thermal conductivity properties with nanoparticle volume fraction. The two-dimensional mass, momentum, and energy equations are normalized into nonlinear system comprising ordinary differential equations via appropriate similarity transformations. The solution of the emerging physical problem is attained by shooting scheme in MATLAB symbolic software. Validation of the results is presented through comparison with previously reported literature in the limiting sense. The influence of pertinent parameters on the flow and heat transfer characteristics is revealed through graphs. It is found that velocity profiles are suppressed with greater magnetic parameter and porosity parameters but temperature profile is enhanced. Velocity and temperature profiles for injection case are higher when compared with the suction phenomenon. Shear stress at the wall is decreased with volume fraction. Heat transfer gradient at the wall is significantly enhanced with volume fraction.

scholarly journals Temperature-Dependent Viscosity and Nanoparticle Effect on Wire Coating Using Third-Grade As a Polymer Liquid With Magnetic Field Flow Within Porous Die

2021 ◽  
Author(s):  
Zeeshan Khan ◽  
Prof. Dr. Ilyas Khan
Keyword(s):  
Numerical Solutions ◽  
Volume Fraction ◽  
Variable Viscosity ◽  
Numerical Technique ◽  
Wall Stress ◽  
Third Grade ◽  
Shear Forces ◽  
Temperature Dependent Viscosity ◽  
Wire Coating ◽  
Dependent Viscosity

Abstract The convective heat and mass propagation inside dies are used to determine the characteristics of coated wire products. As a result, comprehending the properties of polymerization mobility, heat mass transport, and wall stress concentration is crucial. The wire coating procedure necessitates an increase in thermal performance. As a result, this research aims to determine how floating nanoparticles affect the mass and heat transport mechanisms of third-grade fluid in the posttreatment for cable coating processes. For nanofluids, the Buongiorno model is used, including variable viscosity. The model equations are developed using continuity, momentum, energy, and nanoparticle volume fraction concentration. We propose a few nondimensional transformations that are relevant. The numerical technique Runge-Kutta fourth method is used to generate numerical solutions for nonlinear systems. Pictorial depictions are used to observe the influence of various factors in the nondimensional flow, radiative, and nanoparticle concentration fields. Furthermore, the numerical results are also verified analytically using Homotopy Analysis Method (HAM). The analytical findings of this investigation revealed that within the Reynolds modeling, the stress on the whole wire surface combined with shear forces at the surface predominates Vogel's model. The contribution of nanomaterials upon force on the entire surface of wire and shear forces at the surface appears positive. A non-Newtonian feature can increase the capping substance's velocity. This research could aid in the advancement of wire coating technologies.For the first instance, the significance of nanotechnology during wire coating evaluation is explored utilizing Brownian motion with generation/absorption slip processes. For time-dependent viscosity, two alternative models are useful.

Effects of Varying Viscosity and Mixed Convection on Nanotubes-water Flow With Reactions by a Stretching Cylinder: a Comparative Study

2021 ◽  
Author(s):  
Zakir Hussain ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Fluid Flow ◽  
Comparative Study ◽  
Mixed Convection ◽  
Heat Generation ◽  
Volume Fraction ◽  
Liquid Volume ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Magnetic Parameters ◽  
Dependent Viscosity

Abstract The addressed work explains SWCNT (Single walled carbon nanotubnes) and MWCNT (Multi walled carbon nanotubnes) nanofluid flow under the influences of temperature dependent viscosity and mixed convection. Comparative study of SWCN-T and MWCNT suspended in base liquid is presented. Further heat and mass transfer are addressed for nanofluid effected by radiation, heat generation/absorption and diffusion species. Mathematical development of problem is taken in cylindrical coordinates. System of highly nonlinear differential equations are constructed via appropriate transformations. The system of equations are tackled numerically by bvp4c MATLAB solver. The findings of the study show that volume fraction contributes to decline the fluid flow by cylindrical shaped nanoparticles. In addition, fluid flow decelerates via curvature and magnetic parameters while it boots by Grashof number and volume fraction. Further more, temperature dependent viscosity variable corresponds to decrease the temperature close to the surface and it develops away from the surface. The temperature advances in MWCNT-liquid than SWCNT-liquid. Volume fraction and magnetic parameters correspond to skin friction coefficient enhancement. Heat transfer rate increases for larger curvature and heat generation parameters and reverse trend holds against radiation parameter.

scholarly journals Numerical Study of Free Convection inside the Differentially Heated Cavity incorporating Variable Property Al2O3-H2O Nanofluid

2021 ◽  
Author(s):  
Bishwajit Sharma ◽  
◽  
Md. Feroz Alam ◽  
Mayur Krishna Bora ◽  
Rabindra Nath Barman ◽  
...  
Keyword(s):  
Free Convection ◽  
Volume Fraction ◽  
Numerical Study ◽  
Particle Diameter ◽  
Nano Particle ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Percentage Concentration ◽  
Prandtl Numbers ◽  
Dependent Viscosity

This paper investigates free convection in a partially heated square cavity filled with alumina-water nanofluid. The investigation is carried out at the three-volume fraction of nanoparticles (0, 0.03, 0.05), two Prandtl numbers (2.66, 6), and constant Grashof number (105) with three shapes of insulating obstacles (Square, Circular, and Rectangular). The results show that the nanofluid volume fraction and Prandtl number significantly enhance the heat transfer. The user-defined function (UDF) is developed and computed to investigate the effect of nanoparticle diameter and its temperature-dependent viscosity on convection. The average Nusselt number (Nu) increased with the temperature-dependent viscosity model and by increasing the percentage concentration of the nanoparticles. For all obstacle shapes, the thermal performance improved with increase in the nano-particle diameter.

Transient Magneto-Squeezing Flow of NaCl-CNP Nanofluid over a Sensor Surface Inspired by Temperature Dependent Viscosity

2018 ◽  
Vol 387 ◽  
pp. 600-614 ◽  
Author(s):  
Manoj Kumar Nayak ◽  
M. Mubashir Bhatti ◽  
Oluwole Daniel Makinde ◽  
Noreen Sher Akbar
Keyword(s):  
Volume Fraction ◽  
Variable Viscosity ◽  
Mhd Flow ◽  
Linearization Method ◽  
Squeeze Flow ◽  
Squeezing Flow ◽  
Sensor Surface ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Dependent Viscosity

Present study is to a great extent explains the time dependent squeezing magneto-hydrodynamic flow of Sodium Cloride-Carbon nanopowder nanofluid past a sensor surface. The current study is all about the influence of temperature dependent viscosity represented by Reynolds model and Vogel’s model on the MHD flow of the nanofluid considered. Successive Taylor series linearization method has been implemented in order to obtain the numerical solution of the transformed non-linear governing equations. It is very important to mention that irrespective of whether it is NaCl-Graphite or NaCl-Carbon Black or NaCl-Carbon nanopowder, the presence of magnetic field strength contributes the impede movement of the fluid while enhancement in the volume fraction, Reynolds model and Vogel’s model viscosity parameters exhibit the diametrically opposite trend. Keywords: NaCl-CNP nanofluid; MHD; Variable viscosity; Unsteady Squeeze flow; Sensor surface.

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