Nonlinear Heat Source/Sink and Activation Energy Assessment in Double Diffusion Flow of Micropolar (Non-Newtonian) Nanofluid with Convective Conditions

Abstract Time-dependent rotating flow in presence of heat source/sink, applied magnetic field, Joule heating, thermal radiation, and viscous dissipation is considered. Chemical reaction with Arrhenius activation energy is implemented. The governing partial differential equations have been reduced to ordinary differential systems. Shooting scheme is implemented for the computations of governing systems. Graphical results are arranged for velocity, temperature, and concentration, skin friction coefficients, and heat and mass transfer rates. Main results are mentioned in conclusion portion. It is analyzed that velocity decays in the presence of magnetic variable while temperature and concentration fields are enhanced via Eckert number and fitted rate constant. Moreover drag force and mass and heat transfer rates decrease through higher estimations of rotation rate variable, magnetic parameter, and Eckert number.

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Analysis of Buongiorno’s nanofluid model in marangoni convective flow with gyrotactic microorganism and activation energy

International Journal of Modern Physics C ◽

10.1142/s0129183121500728 ◽

2021 ◽

pp. 2150072

Author(s):

M. Ijaz Khan ◽

Yu-Ming Chu ◽

Faris Alzahrani ◽

Aatef Hobiny

Keyword(s):

Activation Energy ◽

Nusselt Number ◽

Heat Source ◽

Marangoni Number ◽

Marangoni Convection ◽

Mhd Flow ◽

Momentum Equation ◽

Number Magnitude ◽

Gyrotactic Microorganism ◽

Source Sink

This communication is to analyze the Marangoni convection MHD flow of nanofluid. Marangoni convection is very useful physical phenomena in presence of microgravity conditions which is generated by gradient of surface tension at interface. We have also studied the swimming of migratory gyrotactic microorganisms in nanofluid. Flow is due to rotation of disk. Heat and mass transfer equations are examined in detail in the presence of heat source sink and Joule heating. Nonlinear mixed convection effect is inserted in momentum equation. Appropriate transformations are applied to find system of equation. HAM technique is used for convergence of equations. Radial and axial velocities, concentration, temperature, motile microorganism profile, Nusselt number and Sherwood number are sketched against important parameters. Marangoni ratio parameter and Marangoni number are increasing functions of axial and radial velocities. Temperature rises for Marangoni number and heat source sink parameter. Activation energy and chemical reaction rate parameter have opposite impact on concentration profile. Motile density profile decays via Peclet number and Schmidt number. Magnitude of Nusselt number enhances via Marangoni ratio parameter.

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The Impact of Cattaneo–Christov Double Diffusion on Oldroyd-B Fluid Flow over a Stretching Sheet with Thermophoretic Particle Deposition and Relaxation Chemical Reaction

Inventions ◽

10.3390/inventions6040095 ◽

2021 ◽

Vol 6 (4) ◽

pp. 95

Author(s):

Bheemasandra M. Shankaralingappa ◽

Ballajja C. Prasannakumara ◽

Bijjanal J. Gireesha ◽

Ioannis E. Sarris

Keyword(s):

Heat Source ◽

Chemical Reaction ◽

Particle Deposition ◽

Stretching Sheet ◽

Fluid Velocity ◽

Double Diffusion ◽

Newtonian Fluids ◽

Clear Understanding ◽

Source Sink ◽

The Impact

The current study focuses on the characteristics of flow, heat, and mass transfer in the context of their applications. There has been a lot of interest in the use of non-Newtonian fluids in biological and technical disciplines. Having such a substantial interest in non-Newtonian fluids, our goal is to explore the flow of Oldroyd-B liquid over a stretching sheet by considering Cattaneo–Christov double diffusion and heat source/sink. Furthermore, the relaxation chemical reaction and thermophoretic particle deposition are considered in the modelling. The equations that represent the indicated flow are changed to ordinary differential equations (ODEs) by choosing relevant similarity variables. The reduced equations are solved using the Runge–Kutta–Fehlberg fourth–fifth order technique (RKF-45) and a shooting scheme. Physical descriptions are strategized and argued using graphical representations to provide a clear understanding of the behaviour of dimensionless parameters on dimensionless velocity, concentration, and temperature profiles. The results reveal that the rising values of the rotation parameter lead to a decline in the fluid velocity. The rise in values of relaxation time parameters of temperature and concentration decreases the thermal and concentration profiles, respectively. The increase in values of the heat source/sink parameter advances the thermal profile. The rise in values of the thermophoretic and chemical reaction rate parameters declines the concentration profile.

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Impact of Activation Energy and Temperature-Dependent Heat Source/Sink on Maxwell–Sutterby Fluid

Mathematical Problems in Engineering ◽

10.1155/2020/5251804 ◽

2020 ◽

Vol 2020 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

T. Sajid ◽

S. Tanveer ◽

Z. Sabir ◽

J. L. G. Guirao

Keyword(s):

Activation Energy ◽

Heat Source ◽

Shooting Method ◽

Stretching Sheet ◽

Numerical Technique ◽

Energy Parameter ◽

Variable Thermal Conductivity ◽

Temperature Dependent ◽

Similarity Transformations ◽

Source Sink

The present article aims to investigate the behaviour of Maxwell–Sutterby fluid past an inclined stretching sheet accompanied with variable thermal conductivity, exponential heat source/sink, magneto-hydrodynamics (MHD), and activation energy. By utilizing the compatible similarity transformations, the nondimensionless PDEs are converted into dimensionless ODEs and further these ODEs are tackled with the help of the bvp4c numerical technique. To check the legitimacy of upcoming results and reliability of the applied bvp4c numerical scheme, a comparison with existing literature and nonlinear shooting method is made. The numerical outcomes delivered here show that the temperature profile escalates due to an augmentation in the heat sink parameter and moreover mass fraction field escalates on account of an improvement in the activation energy parameter.

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