• Title/Summary/Keyword: heat equation

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Prediction of Characteristics for the Air-side Particulate Fouling in Finned-Tube Heat Exchangers of Air Conditioners used in the Field (실공간 사용 공기조화기용 열교환기의 공기측 파울링 특성 예측)

  • Ahn, Young-Chull;Jung, Sung-Hak;Hwang, Yu-Jin;Lee, Chang-Gun;Kim, Doo-Hyun;Jung, Seong-Ir;Lee, Jae-Keun
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.19 no.8
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    • pp.563-568
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    • 2007
  • The air-side particulate fouling in the heat exchangers of HVAC applications degrades the performances of cooling capacity, pressure drop across a heat exchanger, and indoor air quality. Indoor and outdoor air contaminants foul heat exchangers. An empirical modeling equation has been derived from the experimental results using accelerated tests and it showed good predictions of the fouling characteristics of the slitted finned tube heat exchangers. However the modeling equation predicts only the fouling characteristics of new heat exchangers and it can not predicts fouling characteristics obtained from actual field data which contains the effect of hydrophilicity deterioration. Therefore an modified modeling equation is proposed and it shows good predictions of the actual fouling characteristics of finned-tube heat exchangers.

Change of the Warm Water Temperature for the Development of Smart Healthecare Bathing System (지능형 헬스케어 욕조시스템 개발을 위한 온수 온도변화)

  • Kim, Gi-Beom
    • Korean Chemical Engineering Research
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    • v.44 no.3
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    • pp.270-276
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    • 2006
  • In this study, heat loss through free surface of water contained in bathtub due to conduction and evaporation has been analyzed. As a result of this study, a relational equation has been derived based on the basic theory of heat transfer to evaluate the performance of bath tubes. The derived equation was rational and quantitative. The major heat loss was found to be due to evaporation. Moreover, it has been found out that the speed of heat loss depends more on the humidity of the bathroom than the temperature of water contained in the bathtub. So, it is best to maintain the temperature of bathtub water to be between 41 to $45^{\circ}C$ and the humidity of bathroom to be 95%.

Mass Transfer from Heat Exchanger for Closed Wet Cooling Tower (밀폐형 냉각탑용 열교환기에서의 물질전달)

  • Yoo, Seong-Yeon;Kim, Jin-Hyuck;Han, Kyu-Hyun;Kim, Joo-Sang;Ryu, Hae-Sung;Park, Hyoung-Joon
    • Proceedings of the SAREK Conference
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    • 2009.06a
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    • pp.1119-1122
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    • 2009
  • The use of cooling towers in the air conditioning systems of buildings is increasing. In closed wet cooling towers, the heat transfer between the air and surface tubes can be composed of the sensible heat transfer and the latent heat transfer. The latent heat transfer is affected by the air and spray water. This study provides a designing methodology of heat exchanger for closed wet cooling tower. The correlation equation was derived to interpret the mass transfer coefficient based on the analogy of the heat and mass transfer and the experimental results. The results from this correlation equation showed fairly good agreement with experimental data.

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Modeling of the Air-side Particulate Fouling in Finned-Tube Heat Exchangers of Air Conditioners using Accelerated Particle-Loading System (파울링 가속장치를 이용한 공기조화기용 열교환기의 공기측 파울링 특성에 대한 예측 모델링)

  • Ahn Young-Chull;Lee Jae-Keun
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.3
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    • pp.262-267
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    • 2005
  • The air-side particulate fouling in the heat exchangers of HVAC applications degrades the performance of cooling capacity, pressure drop across a heat exchanger, and indoor air quality. Indoor and outdoor air contaminants foul heat exchangers. The purpose of this study is to investigate and to model the air-side particulate fouling characteristics of the heat exchangers using accelerated particle loading system. The main variables of the modeling equation are face velocity and dust concentration. The modeling equation shows good agreements with the experimental results at the face velocity of 0.5, 1.0, 1.5 m/s and the dust concentration of 1.28 and $3.84\;g/m^3$. It will be very useful to predict fouling characteristics such as variations of pressure drop and heat transfer capacity in finned-tube heat exchangers of air conditioners.

Study on Numerical Simulation Using Body-fitted Corrdinate System for Complex Terrain (복잡 지표경계 영역에서 경계 일치 좌표계를 이용한 수치 시뮬레이션에 관한 연구)

  • 홍정혜
    • Journal of Korean Society for Atmospheric Environment
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    • v.16 no.4
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    • pp.339-350
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    • 2000
  • The three-dimensional new corrdinate system over a single hill double hills and complex terrain with a single hill and a rectangular obstacle was generated using a body-fitted coordinate system. Control of the coordinate line distribution in the field was executed by generalizing the elliptic generating system to Poisson equation. ▽2ξ=P. The new coordinate system was well fitted to the surface boundary of single hill and double hills. But in the case of complex terrain with hill and rectangular obstacle there was smoothing tendency around the rectangular obstacle. In order to show the validity of the body-fitted coordinate system the heat diffusion equation was transformed and the temperature distribution was calculated over the various terrain. The results showed the temperature distribution was very symmetrical and stable around hills and obstacle. As a result the couple of a body-fitted coordinate system and the heat diffusion equation were executed successfully. Wind field over complex terrain with hill and rectangular obstacle which represent urban area was simulated stably in body-fitted coordinate system. The qualitative result show the enhancement of wind speed at the upwind direction of a hill and a rectangular obstacle and the recirculation zone at the downwind direction.

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Thermal Management of a Nickel/Metal Hydride Battery (Nickel/Metal Hydride 전지의 열관리기술 개발)

  • Kim, Junbom
    • Applied Chemistry for Engineering
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    • v.8 no.4
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    • pp.667-672
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    • 1997
  • Thermal behavior of high capacity Nickel/Metal hybride battery in analyzed using the NISA software which is based on the three dimensional finite element method. Differential energy balance equation is used for the conduction heat transfer of the battery, while convective heat transfer equation is used for the interface between the battery and air. Heat generation rate and convective heat transfer coefficient are tested as variables to investigate thermal behavior, and the generalized equation for maximum temperature inside the battery is developed. The abrupt rise of the battery temperature due to the quick charge or discharge can be prevented from the use of metallic cooling fin. In addition, temperature augmentation of the battery is negligible when the low thermal conductive and thin insulating material is used outside of the battery case.

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STRONG CONTROLLABILITY AND OPTIMAL CONTROL OF THE HEAT EQUATION WITH A THERMAL SOURCE

  • Kamyad, A.V.;Borzabadi, A.H.
    • Journal of applied mathematics & informatics
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    • v.7 no.3
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    • pp.787-800
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    • 2000
  • In this paper we consider an optimal control system described by n-dimensional heat equation with a thermal source. Thus problem is to find an optimal control which puts the system in a finite time T, into a stationary regime and to minimize a general objective function. Here we assume there is no constraints on control. This problem is reduced to a moment problem. We modify the moment problem into one consisting of the minimization of a positive linear functional over a set of Radon measures and we show that there is an optimal measure corresponding to the optimal control. The above optimal measure approximated by a finite combination of atomic measures. This construction gives rise to a finite dimensional linear programming problem, where its solution can be used to determine the optimal combination of atomic measures. Then by using the solution of the above linear programming problem we find a piecewise-constant optimal control function which is an approximate control for the original optimal control problem. Finally we obtain piecewise-constant optimal control for two examples of heat equations with a thermal source in one-dimensional.

The study on the estimation of heat transfer coefficient through the counterflow concentric tube using refrigerant and moisture air (냉매와 습공기가 교차하는 2중관에서 전열계수 예측을 위한 연구)

  • 조권희
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.5
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    • pp.687-694
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    • 1999
  • This study was conducted to develop new drying process for automatic control and marine engi-neering system. Air-water tests were carried out to investigate dryer performance. The dispersed flow in he dryer test apparatuses was also simulated by using a numerical code which solves the Dittus-Boelter equation for continuous liquid phase and the Reynolds equation of droplet motion for continuous liquid phase and the Reynolds equation of droplet motion for dispersed phase to predict droplet removal efficiency. Proper conditions for dehumidification were optimized by response ambient conditions. When the selected indexes were constrained in the range of 85-98% moisture content above $15^{\circ}$ and more than mass flow rates of moist air 750kg/h. The numerical results were compared with the experimental data pertaining to the removal effi-ciency at chamber stage and overall pressure drop along concentric tubes Good agreement was obtained as for the efficiency while relatively poor agreement was obtained for the relative humidity. The results also showed that the efficiency depended strongly on the relative humidity at the inlet condition which indicated the importance of estimating the heat exchanger length. Effects of some design parameters in both removal efficiency and breakthrough onset condition are discussed.

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A Numerical Algorithm for Modeling Microwave Heating Effects in Electrically Large Structures (A 전기적인 대구조의 마이크로파 가열의 수치해석 모델링)

  • Braunstein, Jeffrey;Lee, Ha-Young;Kim, Hyeong-Seok
    • Proceedings of the KIEE Conference
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    • 2005.07c
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    • pp.2315-2317
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    • 2005
  • In this paper, an iterative method to model the electromagnetic heating of electrically large lossy dielectrics is presented. Frequency domain finite element (FEM) solutions of the wave equation are determined for the lossy inhomogeneous dielectric as the material properties are change with temperature and time. The power absorbed from microwave losses is applied to a finite element time domain (FETD) calculation of the heat diffusion equation. Time steps appropriate for updating the piecewise material properties in the wave equation and the time stepping of the heat equation are presented. The effects of preheating and source frequency are investigated.

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Application of Discrete-Ordinate Method to the Time Dependent Radiative Heat Transfer Calculations (방향차분법을 적용한 시간종속 복사 열전달 계산)

  • Noh, Tae-Wan
    • Journal of Energy Engineering
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    • v.15 no.4 s.48
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    • pp.250-255
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    • 2006
  • In this study, the discrete ordinates method which has been widely used in the solution of neutron transport equation is applied to the solution of the time dependent radiative transfer equation. The self-adjoint form of the second order radiation intensity equation is used to enhance the stability of the solution, and a new multi-step linearization method is developed to avoid the nonlinearity in the material temperature equation. This new solution method is applied to the well known Marshak wave problem, and the numerical result is compared with that of the conventional Monte-Carlo method.