Optimal numerical model of a non-stationary heat transfer through a wall
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The problems of steady-state and transient heat conduction for a given geometry can be
solved analytically and numerically. While the use of analytical solutions is limited,
numerical methods can be used to solve heat transfer problems in complex geometries
with more intricate boundary conditions, using computer simulations. Complex
geometries are discretized to form an efficient numerical mesh for solving the given
problem. This paper focuses on the calculation of one-dimensional, transient heat
transfer for a wall with a thickness of 4 cm. The wall temperatures are calculated for
each mesh node at a given moment in time. Two types of analyses were performed,
using FSM analysis (Finite Strip Method) and FEM analysis (Finite Element Method).
The former was conducted using Microsoft Excel, while the latter was calculatedusing
ANSYS software. A parametric study was performed in order to analyse the influence
of spatial and temporal step size on the accuracy of the solution. Fi...nally, the optimal
solution was determined to obtain temperature results with the lowest relative error
within the wall nodes, while maintaining the efficiency of the computational model.
Keywords:
heat conduction / FSM analysis / FEM analysis / wall / ANSYSSource:
INTERNATIONAL SCIENTIFIC CONFERENCE PLANNING, DESIGN, CONSTRUCTION AND BUILDING RENEWAL, iNDiS 2023, Proceedings, 2023Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200012 (Istitute of Material Testing of Serbia - IMS, Belgrade) (RS-MESTD-inst-2020-200012)
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Institut za ispitivanje materijalaTY - CONF AU - Ilić, Snežana AU - Džolev, Igor AU - Laban, Mirjana PY - 2023 UR - http://rims.institutims.rs/handle/123456789/706 AB - The problems of steady-state and transient heat conduction for a given geometry can be solved analytically and numerically. While the use of analytical solutions is limited, numerical methods can be used to solve heat transfer problems in complex geometries with more intricate boundary conditions, using computer simulations. Complex geometries are discretized to form an efficient numerical mesh for solving the given problem. This paper focuses on the calculation of one-dimensional, transient heat transfer for a wall with a thickness of 4 cm. The wall temperatures are calculated for each mesh node at a given moment in time. Two types of analyses were performed, using FSM analysis (Finite Strip Method) and FEM analysis (Finite Element Method). The former was conducted using Microsoft Excel, while the latter was calculatedusing ANSYS software. A parametric study was performed in order to analyse the influence of spatial and temporal step size on the accuracy of the solution. Finally, the optimal solution was determined to obtain temperature results with the lowest relative error within the wall nodes, while maintaining the efficiency of the computational model. C3 - INTERNATIONAL SCIENTIFIC CONFERENCE PLANNING, DESIGN, CONSTRUCTION AND BUILDING RENEWAL, iNDiS 2023, Proceedings T1 - Optimal numerical model of a non-stationary heat transfer through a wall UR - https://hdl.handle.net/21.15107/rcub_rims_706 ER -
@conference{ author = "Ilić, Snežana and Džolev, Igor and Laban, Mirjana", year = "2023", abstract = "The problems of steady-state and transient heat conduction for a given geometry can be solved analytically and numerically. While the use of analytical solutions is limited, numerical methods can be used to solve heat transfer problems in complex geometries with more intricate boundary conditions, using computer simulations. Complex geometries are discretized to form an efficient numerical mesh for solving the given problem. This paper focuses on the calculation of one-dimensional, transient heat transfer for a wall with a thickness of 4 cm. The wall temperatures are calculated for each mesh node at a given moment in time. Two types of analyses were performed, using FSM analysis (Finite Strip Method) and FEM analysis (Finite Element Method). The former was conducted using Microsoft Excel, while the latter was calculatedusing ANSYS software. A parametric study was performed in order to analyse the influence of spatial and temporal step size on the accuracy of the solution. Finally, the optimal solution was determined to obtain temperature results with the lowest relative error within the wall nodes, while maintaining the efficiency of the computational model.", journal = "INTERNATIONAL SCIENTIFIC CONFERENCE PLANNING, DESIGN, CONSTRUCTION AND BUILDING RENEWAL, iNDiS 2023, Proceedings", title = "Optimal numerical model of a non-stationary heat transfer through a wall", url = "https://hdl.handle.net/21.15107/rcub_rims_706" }
Ilić, S., Džolev, I.,& Laban, M.. (2023). Optimal numerical model of a non-stationary heat transfer through a wall. in INTERNATIONAL SCIENTIFIC CONFERENCE PLANNING, DESIGN, CONSTRUCTION AND BUILDING RENEWAL, iNDiS 2023, Proceedings. https://hdl.handle.net/21.15107/rcub_rims_706
Ilić S, Džolev I, Laban M. Optimal numerical model of a non-stationary heat transfer through a wall. in INTERNATIONAL SCIENTIFIC CONFERENCE PLANNING, DESIGN, CONSTRUCTION AND BUILDING RENEWAL, iNDiS 2023, Proceedings. 2023;. https://hdl.handle.net/21.15107/rcub_rims_706 .
Ilić, Snežana, Džolev, Igor, Laban, Mirjana, "Optimal numerical model of a non-stationary heat transfer through a wall" in INTERNATIONAL SCIENTIFIC CONFERENCE PLANNING, DESIGN, CONSTRUCTION AND BUILDING RENEWAL, iNDiS 2023, Proceedings (2023), https://hdl.handle.net/21.15107/rcub_rims_706 .