scholarly journals Similarity Solution of Stagnation-Point Flow and Heat Transfer of a Micropolar Fluid Towards a Horizontal Permeable Exponentially Elongating Sheet with Radiation, Heat Production/ Immersion

2021 ◽  
Vol 26 (4) ◽  
pp. 179-191
Author(s):  
R. Parthiban ◽  
G. Palani
Keyword(s):  
Mathematical Modeling ◽  
Heat Production ◽  
Surface Heat Flux ◽  
Micropolar Fluid ◽  
Couple Stress ◽  
Surface Heat ◽  
Local Surface ◽  
Radiation Heat ◽  
Flow And Heat Transfer ◽  
The Impact

Abstract The current study aims to explore stagnation spot flow of a micropolar fluid about a plain linear exponentially expanding penetrable surface in the incidence of radiation and in-house heat production/immersion. Through similarity mapping, the mathematical modeling statements are transformed to ODE’s and numerical results are found by shooting techniques. The impact of varying physical constants on momentum, micro-rotation and temperature is demonstrated through graphs. The computed measures including shear, couple stress, mass transfer and the local surface heat flux with distinct measures of factors involved in this proposed problem are presented through a table.

scholarly journals A Numerical Approach to Slip Flow of a Micropolar Fluid above A Flat Permeable Contracting Surface

2021 ◽  
Vol 26 (2) ◽  
pp. 173-185
Author(s):  
R. Parthiban ◽  
G. Palani ◽  
Seema Tinker ◽  
R. P. Sharma
Keyword(s):  
Mathematical Modeling ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Couple Stress ◽  
Slip Flow ◽  
Numerical Approach ◽  
Numerical Results ◽  
Polar Liquid ◽  
Stagnation Point Flow ◽  
Physical Quantities

Abstract A plain linear penetrable contracting sheet with slip over a micro-polar liquid with a stagnation-point flow is analyzed. Through similarity mapping, the mathematical modeling statements are transformed as ODE’s and numerical results are found by shooting techniques. The varying impacts of physical quantities on the momentum, micro-rotation, and temperature were demonstrated through graphs. The computed measures including shear and couple stress with distinct measures of factors involved in this proposed problem are presented through a table.

scholarly journals The impact of wintertime sea-ice anomalies on high surface heat flux events in the Iceland and Greenland Seas

2020 ◽  
Vol 54 (3-4) ◽  
pp. 1937-1952
Author(s):  
James O. Pope ◽  
Thomas J. Bracegirdle ◽  
Ian A. Renfrew ◽  
Andrew D. Elvidge
Keyword(s):  
Heat Flux ◽  
Sea Ice ◽  
Surface Heat Flux ◽  
High Surface ◽  
Surface Heat ◽  
The Impact

Hybrid nanofluid flow and heat transfer past a vertical thin needle with prescribed surface heat flux

2019 ◽  
Vol 29 (12) ◽  
pp. 4875-4894 ◽  
Author(s):  
Iskandar Waini ◽  
Anuar Ishak ◽  
Ioan Pop
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Surface Heat Flux ◽  
Surface Heat ◽  
Dual Solutions ◽  
Hybrid Nanofluid ◽  
Nanofluid Flow ◽  
Needle Size ◽  
Content Type ◽  
Flow And Heat Transfer

Purpose The purpose of this paper is to study the steady mixed convection hybrid nanofluid flow and heat transfer past a vertical thin needle with prescribed surface heat flux. Design/methodology/approach The governing partial differential equations are transformed into a set of ordinary differential equations by using a similarity transformation. The transformed equations are then solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The features of the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles for different values of the governing parameters are analyzed and discussed. Findings It is found that dual solutions exist for a certain range of the mixed convection parameter where its critical values decrease with the increasing of the copper (Cu) nanoparticle volume fractions and for the smaller needle size. It is also observed that the increasing of the copper (Cu) nanoparticle volume fractions and the decreasing of the needle size tend to enhance the skin friction coefficient and the local Nusselt number on the needle surface. A temporal stability analysis is performed to determine the stability of the dual solutions in the long run, and it is revealed that only one of them is stable, while the other is unstable. Originality/value The problem of hybrid nanofluid flow and heat transfer past a vertical thin needle with prescribed surface heat flux is the important originality of the present study where the dual solutions for the opposing flow are obtained.

Mathematical Modeling of Surface Heat Flux During Quenching

2009 ◽  
Vol 41 (1) ◽  
pp. 214-224 ◽  
Author(s):  
K. Babu ◽  
T.S. Prasanna Kumar
Keyword(s):  
Mathematical Modeling ◽  
Heat Flux ◽  
Surface Heat Flux ◽  
Surface Heat

Boundary-layer flow of a micropolar fluid on a continuous flatplate moving in a parallel stream with uniform surface heat flux

2007 ◽  
Vol 85 (8) ◽  
pp. 869-878 ◽  
Author(s):  
A Ishak ◽  
R Nazar ◽  
I Pop
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Boundary Layer Flow ◽  
Surface Heat Flux ◽  
Micropolar Fluid ◽  
Free Stream ◽  
Velocity Ratio ◽  
Skin Friction Coefficient ◽  
Surface Heat ◽  
Layer Flow

The laminar boundary-layer flow of a micropolar fluid on a fixed or continuously moving flat plate with uniform surface heat flux is investigated. The plate is assumed to move in the same oropposite direction to the free stream. The resulting system of nonlinear ordinary differential equations is solved numerically using the Keller-box method. Numerical results are obtained for the skin-friction coefficient and the local Nusselt number as well as the velocity, microrotation, and temperature profiles for some values of the governing parameters, namely, the velocity ratio parameter, material parameter, and Prandtl number. The results indicate that dual solutions exist when the plate and the free stream move in the opposite directions.PACS No.: 47.15.Cb

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