Zero Mass Flux Effects on Time Dependent Flow of an Eyring Powell with Activation Energy

2020 ◽  
Vol 9 (3) ◽  
pp. 216-229
Author(s):  
Hussan Zeb ◽  
Hafiz Abdul Wahab ◽  
Umar Khan
Keyword(s):  
Activation Energy ◽  
Mass Flux ◽  
Slip Boundary Condition ◽  
Time Dependent ◽  
Physical Parameters ◽  
Detailed Result ◽  
Discussion Section ◽  
Nonlinear Odes ◽  
Zero Mass ◽  
The Impact

In this work we demonstrated the impacts of zero mass flux in Powell-Eyring fluid over time dependent stretching sheet. We analyzed the Arrhenius activation energy in heat transfer with momentum and thermal slip boundary condition. The governing model is very complex to solve it directly therefore we transform these governed model into a coupled nonlinear ODEs via similarity transformation. After that, we solve these ODEs by using numerica method so calledshooting technique with RK-technique. The characteristics of different beneficial physical parameters on momentum, energy and concentration fields are represented through graphs. We concluded in this work the arising or reducing in the velocity, temperature and concentration fields for the existence of physical parameters. The impact of physical quantities namely skin fraction (Cf), Nusselt (Nux) and Sherwood (Shx) numbers are calculated numerically via tables. In this paper we concluded that the decreases occurring in velocity field for higher values of (M) (H) and (β). Moreover the characteristics of concentration Φ(ζ), temperature θ(ζ) and velocity f′(ζ) gradients are presented for important physical parameters see in detailed Result and discussion section.

scholarly journals Time-dependent three-dimensional Oldroyd-B nanofluid flow due to bidirectional movement of surface with zero mass flux

2020 ◽  
Vol 12 (4) ◽  
pp. 168781402091378 ◽  
Author(s):  
Manzoor Ahmad ◽  
Sabir Ali Shehzad ◽  
Asif Iqbal ◽  
Muhammad Taj
Keyword(s):  
Differential System ◽  
Mass Flux ◽  
Three Dimensional ◽  
Lewis Number ◽  
Time Dependent ◽  
Zero Mass ◽  
Homotopy Analysis ◽  
Nanoparticles Concentration ◽  
Bidirectional Movement ◽  
Parameter Values

Unsteady three-dimensional flow of an incompressible Oldroyd-B nanomaterial is reported in this article. The origin of flow is time-dependent surface spreading in lateral directions transversely taking nanoparticles with zero mass flux. The formulated partial differential system is reframed by similarity variables into ordinary differential system. The obtained system is solved by the process of homotopy analysis for dimensional temperature and concentration of nanoparticles. Physical parameter behavior on temperature and concentrations of nanoparticles is examined using graph and tabular data. The surface temperature is also measured and evaluated, and it is found that the temperature is reduced for greater unsteadiness parameter values. We found that the higher [Formula: see text] enhances the curves of nanoparticle concentration and temperature while these curves retard for the incrementing values of [Formula: see text] The increasing nature of Brownian movement [Formula: see text] and Lewis number Le corresponds to lower profiles of nanoparticles concentration.

scholarly journals Energy transport analysis in flow of Carreau nanofluid inspired by variable thermal conductivity and zero mass flux conditions

2021 ◽  
Vol 13 (2) ◽  
pp. 168781402199496
Author(s):  
Zahoor Iqbal ◽  
Masood Khan ◽  
Aamir Hamid ◽  
Awais Ahmed
Keyword(s):  
Thermal Conductivity ◽  
Activation Energy ◽  
Mass Flux ◽  
Numerical Technique ◽  
Variable Thermal Conductivity ◽  
Convection Flow ◽  
Physical Constraints ◽  
The Core ◽  
Zero Mass ◽  
Carreau Nanofluid

The presence of nanometric particles in the base fluids lead to form nanofluids. Nanofluids are prominent due to their astonishing features in thermally conducting flows and in the development of electronic and mechanical devices. Based on these motivations, we have designed our article to investigate the thermal conduction features in the free and forced convection flow of unsteady Carreau nanofluid due to stretching cylinder with the effects of variable magnetic field. Moreover, the transport of thermal energy in the flow is properly examined by including the impacts of variable thermal conductivity and nonuniform heat rise/fall. Furthermore, the transport of solutal energy in the flow of nanofluid is encountered under the influences of activation energy and binary chemical reactions. A momentous feature of this study is to employ the zero-mass flux condition at the wall of the cylinder. A section of this study is proposed for mathematical modelling of the current problem. Moreover, the impacts of involved physical constraints are explored by employing an efficient numerical technique namely bvp4c. The features of all physical constraints on flow, thermal and solutal curves are illustrated in the form of graphs and discussed with reasonable physical arguments in discussion section of the article. The core findings of this study are mentioned in the section of closing remarks. The core upshot of the current study is that the nanoparticles concentration rate of nanofluid depicts ascending trend for escalating values of activation energy constraint. A significant upsurge in the coefficients of skin friction and Nusselt number is detected with an escalation in the constraints of buoyancy and thermophoresis forces, respectively. The references regarding this article are also provided at the end.

Significance of Arrhenius activation energy in flow and heat transfer of tangent hyperbolic fluid with zero mass flux condition

2020 ◽  
Vol 26 (8) ◽  
pp. 2517-2526 ◽  
Author(s):  
K. Ganesh Kumar ◽  
Abeer Baslem ◽  
B. C. Prasannakumara ◽  
Jihen Majdoubi ◽  
Mohammad Rahimi-Gorji ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Activation Energy ◽  
Mass Flux ◽  
Arrhenius Activation Energy ◽  
Zero Mass ◽  
Flow And Heat Transfer ◽  
Flux Condition ◽  
Tangent Hyperbolic Fluid

scholarly journals Mixed Convection and Thermally Radiative Flow of MHD Williamson Nanofluid with Arrhenius Activation Energy and Cattaneo–Christov Heat-Mass Flux

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
S. Eswaramoorthi ◽  
Nazek Alessa ◽  
M. Sangeethavaanee ◽  
Safak Kayikci ◽  
Ngawang Namgyel
Keyword(s):  
Heat Transfer ◽  
Activation Energy ◽  
Mass Flux ◽  
Thermal Characteristics ◽  
Mhd Flow ◽  
Weissenberg Number ◽  
Fluid Temperature ◽  
Ode Models ◽  
Arrhenius Function ◽  
The Impact

In this paper, we explored the impact of thermally radiative MHD flow of Williamson nanofluid over a stretchy plate. The flow in a stretchy plate is saturated via Darcy–Forchheimer relation. Cattaneo–Christov heat-mass flux theory is adopted to frame the energy and nanoparticle concentration equations. Additionally, the mass transfer analysis is made by activation energy and binary chemical reaction. Activation energy is invoked through the modified Arrhenius function. The intention of the current investigation is to enhance the heat transfer rate in industrial processes. The non-Newtonian nanofluids have more prominent thermal characteristics compared to ordinary working fluids. The governing models are altered into ODE models, and these models are numerically solved by applying the MATLAB bvp4c algorithm. The graphical and tabular interpretations have scrutinized the impact of sundry distinct parameters. The fluid speed escalates for enhancing the Richardson number, and it falls off for higher values of the Weissenberg number. It is noticed that the fluid temperature declines for higher values of the Brownian motion parameter and it grows for larger values of the thermophoresis parameter. The activation energy enriches the heat transfer gradient and suppresses the local Sherwood number. Additionally, the more significant heat transfer gradient occurs in heat-absorbing nonradiative viscous nanofluid and a smaller heat transfer gradient occurs in heat-generating radiative Williamson nanofluid. Also, we noticed that a higher heat transfer gradient appears in the Fourier model than in the Catteneo–Christov model. In addition, the comparative results are confirmed and reached an outstanding accord.

scholarly journals Bioconvection Reiner-Rivlin Nanofluid Flow between Rotating Circular Plates with Induced Magnetic Effects, Activation Energy and Squeezing Phenomena

Mathematics ◽  
2021 ◽  
Vol 9 (17) ◽  
pp. 2139
Author(s):  
Muhammad Bilal Arain ◽  
Muhammad Mubashir Bhatti ◽  
Ahmad Zeeshan ◽  
Faris Saeed Alzahrani
Keyword(s):  
Activation Energy ◽  
Numerical Technique ◽  
Padé Approximation ◽  
Mathematical Formulation ◽  
Concentration Field ◽  
Industrial Applications ◽  
Physical Parameters ◽  
Circular Plates ◽  
Pade Approximation ◽  
The Impact

This article deals with the unsteady flow in rotating circular plates located at a finite distance filled with Reiner-Rivlin nanofluid. The Reiner-Rivlin nanofluid is electrically conducting and incompressible. Furthermore, the nanofluid also accommodates motile gyrotactic microorganisms under the effect of activation energy and thermal radiation. The mathematical formulation is performed by employing the transformation variables. The finalized formulated equations are solved using a semi-numerical technique entitled Differential Transformation Method (DTM). Padé approximation is also used with DTM to present the solution of nonlinear coupled ordinary differential equations. Padé approximation helps to improve the accuracy and convergence of the obtained results. The impact of several physical parameters is discussed and gives analysis on velocity (axial and tangential), magnetic, temperature, concentration field, and motile gyrotactic microorganism functions. The impact of torque on the lower and upper plates are deliberated and presented through the tabular method. Furthermore, numerical values of Nusselt number, motile density number, and Sherwood number are given through tabular forms. It is worth mentioning here that the DTM-Padé is found to be a stable and accurate method. From a practical point of view, these flows can model cases arising in geophysics, oceanography, and in many industrial applications like turbomachinery.

scholarly journals Non-linear convective flow of the thin film nanofluid over an inclined stretching surface

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Anwar Saeed ◽  
Poom Kumam ◽  
Saleem Nasir ◽  
Taza Gul ◽  
Wiyada Kumam
Keyword(s):  
Thin Film ◽  
Differential Equations ◽  
Liquid Film ◽  
Nonlinear Partial Differential Equations ◽  
Transport Processes ◽  
Time Dependent ◽  
Physical Parameters ◽  
Homotopy Analysis ◽  
Liquid Film Flow ◽  
The Impact

AbstractTo enhance the surface properties of solids the mechanism of thin films is frequently used. Penetration, degradation, stiffness, illumination, diffusion, absorption, and electric performance are all characteristics of a bulk substance medium that a thin film can improve. In nanotechnology, thin film processing can be extremely useful. Therefore, the time-dependent nonlinearly convective stream of thin film nanoliquid over an inclined stretchable sheet with magnetic effect is investigated in current work. The features of mass and heat transport processes are explained using important factors like thermophoresis and Brownian movement. Nonlinear partial differential equations are obtained to model the time-dependent liquid film flow over an inclined surface, which are then turned into couple ordinary differential equations utilizing appropriate alterations. The results of the computation of the model problem are collected using an analytical approach Homotopy Analysis Method and presented the final finding numerically and graphically. During the flow assessment, the impact of individual flow factors such as magnetic, Brownian, and thermophoresis parameters on regular profiles (temperature, velocity, and concentration) are analyzed and found to be quite remarkable. Furthermore, the consequence of M and Nt factors on the velocity, concentration and thermal distribution leads to diminishing conduct. On the other hand, the thermal profile of the liquid film rises in response to the thermophoresis factor. The % wise variation in the skin friction, Nusselt number and Sherwood number versus physical parameters has been obtained and discussed.

scholarly journals MHD Slip Flow for Casson Nano Fluid over a Radically Surface with Zero Mass Flux at the Surface, Non-liner Radiation and Temperature Jump

2021 ◽  
Vol 65 (1) ◽  
pp. 129-142
Author(s):  
Amala Olkha ◽  
Amit Parmar ◽  
Amit Dadheech
Keyword(s):  
Differential Equation ◽  
Heat Source ◽  
Mass Flux ◽  
Velocity Slip ◽  
Second Order ◽  
Nonlinear Thermal Radiation ◽  
Local Skin ◽  
Zero Mass ◽  
Nano Fluid ◽  
The Impact

The impact of second order velocity slip with zero mass flux over a malting radially surface is deliberated in the present study to explore the solution of boundary layer flow for MHD Casson nano-fluid heat and mass transfer utilizing nonlinear thermal radiation, heat source and velocity and temperature jumping effect. The temperature and mass equation effect of cross-diffusion is set. Scheme of R.K. using the shooting method, the fourth order is used to derive the correct transformation of the nonlinear differential equation (ODE) mathematical solution from the partial differential equation (PDE) model. The visual definition is used to explain the effect of fluid flow variable such as temperature change, first and second order velocity slip parameter, magnetic parameter, heat source and radiation parameter, surface melting parameter, temperature ratio parameter on dimensional density, temperature and mass profiles. The numerous Nussels, local skin tension and the amount of Sherwoods is expressed in table form. The results obtained confirm that there is an excellent agreement in open literature with those available. In the case of first and second order slip conditions, the skin frication is magnified. The contrary effect can also be seen in the amount of Nusselt.

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