Heat transfer from a cylinder to a power-law non-Newtonian fluid

AIChE Journal ◽  
1962 ◽  
Vol 8 (4) ◽  
pp. 542-549 ◽  
Author(s):  
M. J. Shah ◽  
E. E. Petersen ◽  
Andreas Acrivos
Keyword(s):  
Heat Transfer ◽  
Newtonian Fluid ◽  
Power Law

Simultaneous Wicking-Convection Heat Transfer Process with Non-Newtonian Power-Law Fluid

2010 ◽  
Vol 297-301 ◽  
pp. 117-125
Author(s):  
Oscar Bautista ◽  
Federico Méndez ◽  
Eric Bautista
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Newtonian Fluid ◽  
Power Law ◽  
Transfer Process ◽  
Numerical Solutions ◽  
Heat Transfer Process ◽  
Dimensionless Temperature ◽  
Power Law Fluid ◽  
Temperature And Pressure

In this work, we have theoretically analyzed the heat convection process in a porous medium under the influence of spontaneous wicking of a non-Newtonian power-law fluid, trapped in a capillary element, considering the presence of a temperature gradient. The capillary element is represented by a porous medium which is initially found at temperature and pressure . Suddenly the lower part of the porous medium touches a reservoir with a non-Newtonian fluid with temperature and pressure . This contact between both phases, in turn causes spontaneously the wicking process. Using a one-dimensional formulation of the average conservation laws, we derive the corresponding nondimensional momentum and energy equations. The numerical solutions permit us to evaluate the position and velocity of the imbibitions front as well as the dimensionless temperature profiles and Nusselt number. The above results are shown by considering the physical influence of two nondimensional parameters: the ratio of the characteristic thermal time to the characteristic wicking time, , the ratio of the hydrostatic head of the imbibed fluid to the characteristic pressure difference between the wicking front and the dry zone of the porous medium, , and the power-law index, n, for the non-Newtonian fluid. The predictions show that the wicking and heat transfer process are strongly dependent on the above nondimensional parameters, indicating a clear deviation in comparison with and n = 1, that represents the classical Lucas-Washburn solution.

Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube

2018 ◽  
Vol 14 (5) ◽  
pp. 940-959 ◽  
Author(s):  
Hanumesh Vaidya ◽  
Manjunatha Gudekote ◽  
Rajashekhar Choudhari ◽  
Prasad K.V.
Keyword(s):  
Heat Transfer ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Rate ◽  
Elastic Tube ◽  
Peristaltic Transport ◽  
Content Type ◽  
Bingham Plastic ◽  
The Impact ◽  
Plastic Fluids

Purpose This paper is concerned with the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impacts of slip and heat transfer on the Herschel-Bulkley fluid are considered. The impacts of relevant parameters on flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids. The paper aims to discuss these issues. Design/methodology/approach The administering equations are solved utilizing long wavelength and low Reynolds number approximations, and exact solutions are acquired for velocity, temperature, flux and stream functions. Findings It is seen that the flow rate in a Newtonian fluid is high when contrasted with the Herschel-Bulkley model, and the inlet elastic radius and outlet elastic radius have opposite effects on the flow rate. Originality/value The analysis carried out in this paper is about the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impact of slip and heat transfer on a Herschel-Bulkley fluid is taken into account. The impacts of relevant parameters on the flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids.

Effect of rotating cylinder on heat transfer in a differentially heated rectangular enclosure filled with power law non-Newtonian fluid

2016 ◽  
Vol 26 (6) ◽  
pp. 1910-1931 ◽  
Author(s):  
Atta Sojoudi ◽  
Marzieh Khezerloo ◽  
Suvash C Saha ◽  
Yuantong Gu
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Practical Importance ◽  
Rotating Cylinder ◽  
Heated Wall ◽  
Content Type ◽  
Rectangular Enclosure ◽  
Future Work

Purpose – The purpose of this paper is to numerically investigate two dimensional steady state convective heat transfer in a differentially heated square cavity with constant temperatures and an inner rotating cylinder. The gap between the cylinder and the enclosure walls is filled with power law non-Newtonian fluid. Design/methodology/approach – Finite volume-based CFD software, Fluent (Ansys 15.0) is used to solve the governing equations. Attribution of the various flow parameters of fluid flow and heat transfer are investigated including Rayleigh number, Prandtl number, power law index, the cylinder radius and the angular rotational speed. Findings – Outcomes are reported in terms of isotherms, streamlines and average Nusselt number (Nu) of the heated wall for various considered here. Research limitations/implications – A detailed investigates is needed in the context of 3D flow. This will be a part of the future work. Practical implications – The effect of a rotating cylinder on heat transfer and fluid flow in a differentially heated rectangular enclosure filled with power law non-Newtonian fluid has practical importance in the process industry. Originality/value – The results of this study may be of some interest to the researchers of the field of chemical or process engineers.

scholarly journals Viscous Dissipation Effect in the Free Convection of Non-Newtonian Fluid with Heat Generation or Absorption Effect on the Vertical Wavy Surface

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Mehdi Moslemi ◽  
Kourosh Javaherdeh
Keyword(s):  
Heat Transfer ◽  
Viscous Dissipation ◽  
Newtonian Fluid ◽  
Heat Generation ◽  
Power Law ◽  
Leading Edge ◽  
Wavy Surface ◽  
Brinkman Number ◽  
Absorption Effect ◽  
Heat Generation Or Absorption

The present article analyzes the effect of viscous dissipations on natural convection heat transfer. The power law model for non-Newtonian fluid with heat generation or absorption effect along a sinusoidal wavy surface with isothermal boundary condition is investigated. A simple coordinate transform is employed to map the wavy surface into a flat surface, and also, the fully implicit finite difference method is incorporated for the numerical solution. The findings of this study can help better understand the effect of parameters such as the Brinkman number, heat generation/absorption, wave amplitude magnitude, and generalized Prandtl number on convective heat transfer in dilatant and pseudoplastic non-Newtonian. Results show that as the Brinkman number increases, the amount of heat transfer decreases. This is physically justifiable considering that the fluid becomes warmer due to the viscous dissipation, decreasing its temperature difference with the constant temperature surface. Also, the effect of the power law viscosity index is surveyed. It is demonstrated that the magnitude of the local Nusselt number in the plane leading edge has the smallest quantity for pseudoplastic fluids compared to dilatant Newtonian fluids. Additionally, as the distance from the plane leading edge increases, the heat transfer declines.

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