A heat exchanger system is depicted in the following figure and related system parameters are given at the table below. Suppose that the rate of heat energy gain for this system satisfies the simple material transport model; 9=mc(T₁-T₂) where it represents the mass flow, T, and T, are the entering and leaving fluid temperature and cis specific heat capacity of fluid. Then, derive a frequency-domain model to calculate the temperature of Fluid-B leaving the heat exchanger. Fluid-8- Fluid-A L: Height of heat exchanger cylinder K: Thermal conductivity of heat exchanger cylinder R. R. Radius of inner and outer tube Thickness of inner and outer tube BX Fluid-A Fluid-B 4.4: Surface area of inner and outer tube C.C.: Convective heat transfer coefficient of inner and outer tube TT Temperature of Fluid-A at entrance and exit TT: Temperature of Fluid-B at entrance and exit CC Heat capacity of Fluid-A and Fluid-B
A heat exchanger system is depicted in the following figure and related system parameters are given at the table below. Suppose that the rate of heat energy gain for this system satisfies the simple material transport model; where, i represents the mass flow, T and I are the entering and leaving fluid temperature and cis specific heat capacity of fluid. Then, derive a frequency-domain model to calculate the temperature of Fluid-B leaving the heat exchanger. L K R₁, R Fluid-B→→→→→→ TAN 9 gained mc (Tx-TN) = Fluid-A TB BN TAX : Height of heat exchanger cylinder : Thermal conductivity of heat exchanger cylinder Radius of inner and outer tube : Thickness of inner and outer tube ri, ro A₁, A: Surface area of inner and outer tube C₁, C TAN, TAX → Fluid-A TR BX Fluid-B : Convective heat transfer coefficient of inner and outer tube Temperature of Fluid-A at entrance and exit TBN, TBX: Temperature of Fluid-B at entrance and exit C₁, C Heat capacity of Fluid-A and Fluid-B
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