Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions
The objective of the present work is to analyze experimentally and numerically the laminar forced convection flow in a horizontal pipe partially filled with a porous medium under constant heat flux and to study the influence of the eccentricity of the porous medium on the results. In a numerical ana...
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MDPI AG
2022-11-01
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| author | Behzad Siavash Amoli Seyed Soheil Mousavi Ajarostaghi Majid Saffar-Avval Reza Hosseini Abardeh Nevzat Akkurt |
| author_facet | Behzad Siavash Amoli Seyed Soheil Mousavi Ajarostaghi Majid Saffar-Avval Reza Hosseini Abardeh Nevzat Akkurt |
| author_sort | Behzad Siavash Amoli |
| collection | DOAJ |
| description | The objective of the present work is to analyze experimentally and numerically the laminar forced convection flow in a horizontal pipe partially filled with a porous medium under constant heat flux and to study the influence of the eccentricity of the porous medium on the results. In a numerical analysis, the governing equations are solved in three dimensions. To simplify the grid generation and the satisfaction of the boundary conditions, conformal mapping is applied to convert the cross-section of the tube in the fluid domain (space between two eccentric circles) into a rectangle, and the equations are solved in a computational domain in this domain. The Darcy–Brinkman–Forchheimer model is applied to simulate the hydrodynamic behavior of the flow in the porous region. Thermal equilibrium between solid and fluid is assumed for the energy equation. A FORTRAN program was developed to solve the equations using the finite volume method and the SIMPLE algorithm. Velocity profile, pressure drop and average Nusselt number are studied in a wide range of Darcy numbers, thickness of porous mediums and eccentricities. The results show that the eccentricity of the porous material reduces the heat transfer coefficient and the pressure drop simultaneously; of course, the reduction in the heat transfer coefficient is less noticeable when the thickness of the porous medium is smaller. For example, at R<sub>P</sub> = 0.5, when the eccentricity of the porous medium increases up to E = 0.4, the average Nusselt number decreases by 66%, and this reduction for a smaller porous thickness decreases to 11%. The maximum pressure drop reduction for Da = 10<sup>−5</sup> and E = 0.4 is 25%. |
| first_indexed | 2024-03-09T17:27:53Z |
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| language | English |
| last_indexed | 2024-03-09T17:27:53Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
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| series | Water |
| spelling | doaj.art-5cb6184c66b8415ebc741fd251c238d72023-11-24T12:31:54ZengMDPI AGWater2073-44412022-11-011423383210.3390/w14233832Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium ConditionsBehzad Siavash Amoli0Seyed Soheil Mousavi Ajarostaghi1Majid Saffar-Avval2Reza Hosseini Abardeh3Nevzat Akkurt4Department of Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol 47148-71167, IranDepartment of Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol 47148-71167, IranDepartment of Mechanical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, IranDepartment of Mechanical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, IranRare Earth Elements Application and Research Center, Munzur University, Tunceli 62000, TurkeyThe objective of the present work is to analyze experimentally and numerically the laminar forced convection flow in a horizontal pipe partially filled with a porous medium under constant heat flux and to study the influence of the eccentricity of the porous medium on the results. In a numerical analysis, the governing equations are solved in three dimensions. To simplify the grid generation and the satisfaction of the boundary conditions, conformal mapping is applied to convert the cross-section of the tube in the fluid domain (space between two eccentric circles) into a rectangle, and the equations are solved in a computational domain in this domain. The Darcy–Brinkman–Forchheimer model is applied to simulate the hydrodynamic behavior of the flow in the porous region. Thermal equilibrium between solid and fluid is assumed for the energy equation. A FORTRAN program was developed to solve the equations using the finite volume method and the SIMPLE algorithm. Velocity profile, pressure drop and average Nusselt number are studied in a wide range of Darcy numbers, thickness of porous mediums and eccentricities. The results show that the eccentricity of the porous material reduces the heat transfer coefficient and the pressure drop simultaneously; of course, the reduction in the heat transfer coefficient is less noticeable when the thickness of the porous medium is smaller. For example, at R<sub>P</sub> = 0.5, when the eccentricity of the porous medium increases up to E = 0.4, the average Nusselt number decreases by 66%, and this reduction for a smaller porous thickness decreases to 11%. The maximum pressure drop reduction for Da = 10<sup>−5</sup> and E = 0.4 is 25%.https://www.mdpi.com/2073-4441/14/23/3832forced convectionporous mediumpartially filledeccentricityanalytical mappingexperimental |
| spellingShingle | Behzad Siavash Amoli Seyed Soheil Mousavi Ajarostaghi Majid Saffar-Avval Reza Hosseini Abardeh Nevzat Akkurt Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions Water forced convection porous medium partially filled eccentricity analytical mapping experimental |
| title | Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions |
| title_full | Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions |
| title_fullStr | Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions |
| title_full_unstemmed | Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions |
| title_short | Experimental and Numerical Analysis of Forced Convection in a Horizontal Tube Partially Filled with a Porous Medium under Local Thermal Equilibrium Conditions |
| title_sort | experimental and numerical analysis of forced convection in a horizontal tube partially filled with a porous medium under local thermal equilibrium conditions |
| topic | forced convection porous medium partially filled eccentricity analytical mapping experimental |
| url | https://www.mdpi.com/2073-4441/14/23/3832 |
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