• Title/Summary/Keyword: heat-type equation

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Computer simulation for the performance analysis of automobile air conditioning system (자동차용 에어컨 시스템의 성능해석을 위한 컴퓨터 시뮬레이션)

  • 이건호;유정열;정종대;최규환
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.10 no.2
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    • pp.202-216
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    • 1998
  • A computer simulation for the performance analysis of automobile air conditioning components is carried out for the various operating conditions. The automobile air conditioning system consists of laminated type evaporator, swash plate type compressor, parallel flow type condenser, externally equalized thermostatic expansion valve and receiver drier. The overall heat transfer coefficient and the pressure drop in laminated type evaporator were obtained through experiments. In parallel flow type condenser, the performance analysis computer program using the empirical equation for heat transfer coefficient has been developed and the results are compared with experimental results. A model for matching the performance analysis programs of respective components .of automobile air conditioning system is introduced. Further, the effects of varying condenser size and refrigerant charge on the performance of automobile air conditioning system are discussed clearly.

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A Finite Element Analysis of Conjugate Heat Transfer Inside a Cavity with a Heat Generating Conducting Body (고체 열원이 존재하는 공동 내의 복합열전달 문제의 유한요소해석)

  • Ahn, Young-Kyoo;Choi, Hyoung-Gwon;Yong, Ho-Taek
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.3
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    • pp.170-177
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    • 2009
  • In the present study, a finite element analysis of conjugate heat transfer problem inside a cavity with a heat-generating conducting body, where constant heat flux is generated, is conducted. A conduction heat transfer problem inside the solid body is automatically coupled with natural convection inside the cavity by using a finite element formulation. A finite element formulation based on SIMPLE type algorithm is adopted for the solution of the incompressible Navier-Stokes equations coupled with energy equation. The proposed algorithm is verified by solving the benchmark problem of conjugate heat transfer inside a cavity having a centered body. Then a conjugate natural heat transfer problem inside a cavity having a heat-generating conducting body with constant heat flux is solved and the effect of the Rayleigh number on the heat transfer characteristics inside a cavity is investigated.

A TRACE-TYPE FUNCTIONAL METHOD FOR DETERMINATION OF A COEFFICIENT IN AN INVERSE HEAT CONDUCTION PROBLEM

  • WEN, JIN;CHENG, JUN-FENG
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.439-447
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    • 2017
  • This paper investigates the inverse problem of determining an unknown heat radiative coefficient, which is only time-dependent. This is an ill-posed problem, that is, small errors in data may cause huge deviations in determining solution. In this paper, the existence and uniqueness of the problem is established by the second Volterra integral equation theory, and the method of trace-type functional formulation combined with finite difference scheme is studied. One typical numerical example using the proposed method is illustrated and discussed.

Numerical Ananlysis on the Tubulent Flow and Heat Transfer in the Tunnel Laminar Flow Type Clean Room(1) (터널층류방식 청정실에서의 난류운동과 열전달에 관한 수치해석(1))

  • 정한식;정효민
    • Journal of Advanced Marine Engineering and Technology
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    • v.19 no.4
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    • pp.27-33
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    • 1995
  • The turbulent flow and heat transfer in the tunnel laminar flow type clean room is investigated by a numerical simulation. The model clean room is assumed to be a rectngular $5m\times3m$, in which a worktable of 0.75m hight, and 1.5m or 3m long at the floor. Major parameters are the inlet flow velocity, inlet hole size and worktable surface distance. The mean Nusselt number is increased by increasing Reynolds number and can be expressed by the correlation equation.

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Comparative Studies of Heat Transfer Coefficients for Rocket Nozzle (로켓 노즐의 열전달계수 비교 연구)

  • Hahm, Hee-Cheol;Kang, Yoon-Goo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.2
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    • pp.42-50
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    • 2012
  • The goal of heat transfer studies is the accurate prediction of temperature and heat flux distribution on material boundaries. To this purpose, general-purpose computational fluid dynamics(CFD) code is used : FLUENT. Mass fluxes and pressure ratio are calculated for two types of nozzle. The comparative studies reveal that the computational results are in agreement with the experimental data. Also, heat transfer coefficients from FLUENT for one type of nozzle are very similar and agree well with the experimental data in the diverging part of the nozzle, but the calculated results are large in the converging part. The heat transfer coefficients from Bartz equation are over-predicted. We can consider various reasons for these differences, i.e., laminarization by the highly accelerated flow in the nozzle, turbulent flow model and grid generation.

Experimental Study on the Performance Characteristics of a CO2 Air-conditioning System for Vehicles (자동차용 CO2 에어컨 시스템의 성능 특성에 관한 실험적 연구)

  • Lee, Daewoong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.23 no.1
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    • pp.18-24
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    • 2015
  • In this study, a $CO_2$ air-conditioning system was investigated with different types of electrically driven compressors, parallel flow type gas cooler, four-pass type evaporator, internal heat exchanger integrated with accumulator, and electric expansion valve. The experimental study was conducted under various operating conditions (ie., different rotational compressor speeds, air inlet temperatures and air velocity coming into heat exchangers). The experimental results showed the cooling capacity was 3.5kW at $35^{\circ}C$ ambient temperature when the vehicle was idle (ie., the worst condition for cooling off the gas cooler). In terms of performance effect of the compressor, the e-RP model had a slightly better cooling capacity and coefficient of performance than the e-GR model under the same test conditions. An experimental equation for optimum cooling-performance control was also suggested based on the results. A high-pressure control algorithm for the super critical cycle was determined to achieve both maximum cooling performance and efficient energy consumption. The results from the experimental equation coincided with those of previous experimental studies.

Experimental study on the heat flux and heat transfer coefficient in a spark ignition engine (스파크 점화기관의 열유속 및 열전달 계수에 대한 실험적 연구)

  • Han, Seong-Bin;Gwon, Yeong-Jik;Lee, Jeong-Yeol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.11
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    • pp.1466-1474
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    • 1997
  • In order to design and develop a spark ignition engine, many studies must be preceded about the characteristics of thermal flow. For measurement of transient wall temperature thin film thermocouples of Bendersky type were manufactured and these probes were fixed into the wall of combustion chamber. Surface wall temperatures were measured in experiments of various engine speeds. Transient heat fluxes were calculated from the wall temperature measurements. Pressure was measured from combustion chamber using pressure transducer and gas temperatures were calculated using the state equation of ideal gas. And instantaneous heat transfer coefficients were obtained. It will be the basic data for the formulae of instantaneous heat transfer coefficients.

STABILITY OF TRIGONOMETRIC TYPE FUNCTIONAL EQUATIONS IN RESTRICTED DOMAINS

  • Chung, Jae-Young
    • The Pure and Applied Mathematics
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    • v.18 no.3
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    • pp.231-244
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    • 2011
  • We prove the Hyers-Ulam stability for trigonometric type functional inequalities in restricted domains with time variables. As consequences of the result we obtain asymptotic behaviors of the inequalities and stability of related functional inequalities in almost everywhere sense.

STABILITY OF FUNCTIONAL EQUATIONS WITH RESPECT TO BOUNDED DISTRIBUTIONS

  • Chung, Jae-Young
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.3
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    • pp.361-370
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    • 2008
  • We consider the Hyers-Ulam type stability of the Cauchy, Jensen, Pexider, Pexider-Jensen differences: $$(0.1){\hspace{55}}C(u):=u{\circ}A-u{\circ}P_1-u{\circ}P_2,\\(0.2){\hspace{55}}J(u):=2u{\circ}\frac{A}{2}-u{\circ}P_1-u{\circ}P_2,\\(0.3){\hspace{18}}P(u,v,w):=u{\circ}A-v{\circ}P_1-w{\circ}P_2,\\(0.4)\;JP(u,v,w):=2u{\circ}\frac{A}{2}-v{\circ}P_1-w{\circ}P_2$$, with respect to bounded distributions.

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Laminar Convective Heat Transfer from a Horizontal Flat Plate of Phase Change Material Slurry Flow

  • Kim Myoung-Jun
    • Journal of Advanced Marine Engineering and Technology
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    • v.29 no.7
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    • pp.779-784
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    • 2005
  • This paper presents the theory of similarity transformations applied to the momentum and energy equations for laminar, forced, external boundary layer flow over a horizontal flat plate which leads to a set of non-linear, ordinary differential equations of phase change material slurry(PCM Slurry). The momentum and energy equation set numerically to obtain the non-dimensional velocity and temperature profiles in a laminar boundary layer are solved. The heat transfer characteristics of PCM slurry was numerically investigated with similar method. It is clarified that the similar solution method of Newtonian fluid can be used reasonably this type of PCM slurry which has low concentration. The data of local wall heat flux and convective heat transfer coefficient of PCM slurry are higher than those of water more than 150$\~$200$\%$, approximately.