Analytical and Numerical Simulations to Observe the Seawater Cooling Phenomena Through a Single Rectangular Plate-Fin
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Bibliographic record
Abstract
This paper describes several simulations of the seawater cooling phenomenon using a theoretical approach based on analytical method, numerical method of Euler’s and Runge-Kutta of fourth-order (RK4). These research objectives, i.e. to get the energy balance equations, to use the solution equations, and to do the simulation processes. The methods used, i.e. (i) do the completion of mathematical equations to get the constants for energy balance based on the ordinary differential equations (ODEs), (ii) do the made of solving equations for simulation, and (iii) does the simulation processes assisted by a spreadsheet application and result in analysis. The results are in the form of (a) the constants for energy balance, i.e. b1 is 0.9134∙10-3 sec-1 and b2 is 0.31∙10-6 sec-1, (b) produced three solving equations for the simulation, and (c) obtained curves of the temperature changes. The results of the simulation processes based on a spreadsheet application have obtained the results, that the time span 1800 seconds (30 minutes) can cause changes in the temperature of the fluid from 25℃ to (i) 4.823770℃ with a rate of change of 0.092%, if used of the analytical method; (ii) 4.819088℃ with a rate of change of 0.092%, if used the numerical method of Euler’s; and (iii) 5.600404℃ with a rate of change of 0.083%, if used the numerical method of RK4’s. The conclusion in this paper, that all the curves of changes in the temperature of the fluid are the non-linear curves. Even though the final value of temperature is the highest, but the RK4 more thoroughly. Suggestions for future work, that the simulation of its phenomena must be begun with making the mathematical models with the analytical and/or numerical method and implemented them into the computer application.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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