Natural convection in a square enclosure with a circular cylinder with adiabatic side walls according to bottom wall temperature variation

Park, Jaehyun; Kim, Min Soo; Mun, Gi Su; Park, Yong Gap; Ha, Man Yeong

doi:10.1007/s12206-018-0623-9

Cited by 9 publications

(3 citation statements)

References 16 publications

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“…Utilizing mainly numerical approaches, natural convection in closed cavities with one cylinder has investigated by [Moukalled and Acharya (1996); Roychowdhury et al ( 2002); Shu and Zhu (2002); Hussain and Hussein (2010); Kim et al (2014); Park et al (2018)] and with two cylinders by [Ali (2008); park(2012); Yoon et al (2012); Yoon et al (2014); Karimi et al (2014); Abdi and Rezazada (2016)] * Corresponding author, E-mail: mahmoud75@uokirkuk.edu.iq under variations in many variables such as diameters and locations of the cylinder, boundary conditions of the cylinder and enclosure as well as Rayleigh numbers (Ra). In addition, natural convection under different situations employing partially opened cavities as the main configuration is also covered in literature.…”

Section: Introductionmentioning

confidence: 99%

Natural Convection in a Square Enclosure With Different Openings and Involves Two Cylinders: A Numerical Approach

Ali¹,

Jalal²

2021

Frontiers in Heat and Mass Transfer

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In this work, natural convection in an adiabatic enclosure with openings induced by two isothermal hot cylinders is approached numerically. The study covers five different configurations of the enclosure as the number and locations of the inlet and outlet ports are varied for Rayleigh number (Ra) between 10 4 and 10 6. Additionally, the study also analyzes the effects of varying the horizontal distance (S) between the cylinders along with their vertical locations () for dimensionless values of 0.4 to 0.3 and-0.2 to 0.2, respectively, at a constant Ra of 10 6. The outcomes show that the locations of the openings have a significant influence on the amount of the heat being transferred. When both  and S are kept unchanged, and at low Ra, where conduction is the main reason for heat transfer, configurations with two facing inlets illustrate low heat transfer up to Ra = 2.5x10 5 which is reversed as Ra increases. However, for changes in S at Ra = 10 6 , when the heat is mainly being dissipated by convection, these configurations are not only dissipating more heat rates but also show low sensitivity to increase in S. Low sensitivity for changes in  has also been observed for the configuration with two facing outlets and one inlet. In overall, in all considered configurations, the average Nusselt number varies inversely with variation in . Similar change is observed for configurations that have one inlet as well with variation in S. The configuration with symmetrically distributed ports shows distinguished results in heat dissipation characteristics.

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Section: Introductionmentioning

confidence: 99%

Natural Convection in a Square Enclosure With Different Openings and Involves Two Cylinders: A Numerical Approach

Ali¹,

Jalal²

2021

Frontiers in Heat and Mass Transfer

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“…The combination of the conditions of the enclosure and the internal bodies provides various reach topics. Thus, numerous studies have dealt with the natural convection for the internal bodies in the enclosure by considering the individual condition or combined conditions such as the thermal boundary [1][2][3][4][5], the shape [3,4,[6][7][8][9], 3D effect [2,[10][11][12], the size [8,9,11,[13][14][15][16][17][18][19][20][21][22], the number of the internal bodies [23], the concentric and eccentric internal body [12,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40], Rayleigh number…”

Section: Introductionmentioning

confidence: 99%

Classification of Flow Modes for Natural Convection in a Square Enclosure with an Eccentric Circular Cylinder

Yoon¹,

Shim²

2021

Energies

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The present study investigated the natural convection for a hot circular cylinder embedded in a cold square enclosure. The numerical simulations are performed to solve a two-dimensional steady natural convection for three Rayleigh numbers of 103, 104 and 105 at a fixed Prandtl number of 0.7. This study considered the wide range of the inner cylinder positions to identify the eccentric effect of the cylinder on flow and thermal structures. The present study classifies the flow structures according to the cylinder position. Finally, the present study provides the map for the flow structures at each Rayleigh number (Ra). The Ra = 103 and 104 form the four modes of the flow structures. These modes are classified by mainly the large circulation and inner vortices. When Ra = 105, one mode that existed at Ra = 103 and 104, disappears in the map of the flow structures. The new three modes appear, resulting in total six modes of flow structures at Ra = 105. New modes at Ra = 105 are characterized by the top side secondary vortices. The corresponding isotherms are presented to explain the bifurcation of the flow structure.

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“…Their outcomes exhibited that heat transfer rate inversely varied with the nanoparticle concentration, the strength of the applied magnetic field and the position of the heater. Free convection phenomena in a square cavity along with a circular cylinder whose side walls are adiabatic and the bottom wall temperature is variable, were investigated by Park et al [8]. They noticed that isotherms are powerfully influenced by the temperature change of the bottom wall.…”

Section: Introductionmentioning

confidence: 99%

Impacts of Heat Flux Distribution, Sloping Magnetic Field and Magnetic Nanoparticles on the Natural Convective Flow Contained in a Square Cavity

Al-Balushi

Rahman²

2020

Fluid Dynamics &Amp; Materials Processing

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In the present paper, the effect of the heat flux distribution on the natural convective flow inside a square cavity in the presence of a sloping magnetic field and magnetic nanoparticles is explored numerically. The nondimensional governing equations are solved in the framework of a finite element method implemented using the Galerkin approach. The role played by numerous model parameters in influencing the emerging thermal and concentration fields is examined; among them are: the location of the heat source and its lengthH Ã , the magnitude of the thermal Rayleigh number, the nanoparticles shape and volume fraction, and the Hartmann number. It is found that the nanofluid velocity becomes higher when the thermal source length, the nanoparticles volume fraction and/or the thermal Rayleigh number are increased, while it decreases as the Hartmann number Ha grows and the position of the heat source moves toward the center of the lower wall of the cavity. Moreover, the temperature of the nanofluid grows with the extension of the thermal source and decreases slowly when the heat flux position moves toward the center of the lower wall. The outcomes of the research also indicate that the average Nusselt number becomes smaller on increasing Hartmann number Ha and heat source length H Ã . The addition of Fe 3 O 4 to engine oil leads to a higher rate of heat transfer with respect to the addition of SiO 2 particles. Blade-shaped nanoparticles generate the highest value of the Nusselt number compared to all the other considered shapes.

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Natural convection in a square enclosure with a circular cylinder with adiabatic side walls according to bottom wall temperature variation

Cited by 9 publications

References 16 publications

Natural Convection in a Square Enclosure With Different Openings and Involves Two Cylinders: A Numerical Approach

Natural Convection in a Square Enclosure With Different Openings and Involves Two Cylinders: A Numerical Approach

Classification of Flow Modes for Natural Convection in a Square Enclosure with an Eccentric Circular Cylinder

Impacts of Heat Flux Distribution, Sloping Magnetic Field and Magnetic Nanoparticles on the Natural Convective Flow Contained in a Square Cavity

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