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Question

Oil in an engine is being cooled by air in a cross-flow heat exchanger, where both fluids are unmixed. Oil $(c_ph =2047 J/kg \cdot K)$ flowing with a flow rate of 0.026 kg/s enters the heat exchanger at $75^\circ C,$ while air $(c_{pc} = 1007 J/kg \cdot K)$ enters at $30^\circ C$ with a flow rate of 0.21 kg/s. The overall heat transfer coefficient of the heat exchanger is $53 W/m^2 \cdot K$ and the total surface area is $1 m^2.$ Determine (a) the heat transfer effectiveness and (b) the outlet temperature of the oil.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 9$\textbf{Given:}$

- $T_ {c,in}=30 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $T_ {h,in}=75 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $\dot{m}_c=0.21 \hspace{1mm} \frac{\text{kg}}{\text{s}}$
- $\dot{m}_h=0.026 \hspace{1mm} \frac{\text{kg}}{\text{s}}$
- $U =53 \hspace{1mm} \frac{\text{W}}{\text{m}^2 \cdot \text{K}}$
- $c_{p,c}=1007 \hspace{1mm} \frac{\text{J}}{\text{kg} \cdot \text{K}}$
- $c_{p,h}=2047 \hspace{1mm} \frac{\text{J}}{\text{kg} \cdot \text{K}}$
- $A_s= 1 \hspace{1mm} \text{m}^2$ Oil in an engine is cooled in a cross-flow heat exchanger, where both fluid are unmixed, by cold air. The heat transfer effectiveness and outlet temperature of the oil are to be determined.

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