Heat Transfer Analysis in Double Pipe Heat Exchanger
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Questions and Answers

What effect does an increase in Reynolds number have on heat transfer in a double pipe heat exchanger?

  • It increases turbulence and improves convective heat transfer. (correct)
  • It reduces turbulence, leading to worse heat transfer.
  • It decreases the overall heat transfer coefficient.
  • It has no significant effect on heat transfer.
  • What is the purpose of the orifice meters used in the experimental setup?

  • To control fluid flow rates.
  • To calculate thermal conductivity.
  • To measure temperature differences.
  • To measure pressure differences. (correct)
  • Which symbol represents the heat transfer rate in the nomenclature?

  • 𝑈
  • 𝑚
  • ∆𝑇#$
  • 𝑄 (correct)
  • What unit is used to measure thermal conductivity according to the nomenclature?

    <p>W/m.K (D)</p> Signup and view all the answers

    What was the role of the eight thermocouples in the experimental setup?

    <p>To monitor temperature changes at various points. (B)</p> Signup and view all the answers

    What kind of heat exchanger was primarily studied in this experiment?

    <p>Double pipe heat exchanger (A)</p> Signup and view all the answers

    What is the relationship between Reynolds number and heat transfer coefficient as found in the study?

    <p>They are directly proportional. (A)</p> Signup and view all the answers

    What is represented by the symbol 𝑈 in the nomenclature?

    <p>Overall heat transfer coefficient (C)</p> Signup and view all the answers

    What was the primary purpose of the experiment discussed?

    <p>To investigate the effect of the Reynolds number on heat transfer (A)</p> Signup and view all the answers

    Which valves were designated for co-current flow in the experiment?

    <p>Valves 1-4 (C)</p> Signup and view all the answers

    What indicates errors in the steam generator during the experiment?

    <p>Unsteady flow rate and conditions (A)</p> Signup and view all the answers

    What is the expected relationship between Reynolds number and heat transfer coefficient?

    <p>Heat transfer coefficient increases with increasing Reynolds number (D)</p> Signup and view all the answers

    Which method was used to calculate mass flow rates in the experiment?

    <p>Pressure difference measurements (A)</p> Signup and view all the answers

    What was a major reason for discrepancies between theoretical and experimental results?

    <p>Heat loss due to lack of insulation (B)</p> Signup and view all the answers

    What type of flow was found to be more efficient under specific conditions in the experiment?

    <p>Counter-current flow was more efficient in run 1 and run 4 (C)</p> Signup and view all the answers

    What additional calculations were performed alongside mass flow rates in the experiment?

    <p>Prandtl number and Reynolds number calculations (D)</p> Signup and view all the answers

    What is one reason the co-current approach value is expected to be higher?

    <p>The exit temperature of one stream approaches that of the other. (B)</p> Signup and view all the answers

    How is the Reynolds number related to the mass flow rate?

    <p>It is directly proportional. (A)</p> Signup and view all the answers

    What primarily causes the deviation in the Reynolds number for cold streams across different runs?

    <p>Fluctuations in the viscosity of the cold stream. (C)</p> Signup and view all the answers

    What is the expected relationship between the Nusselt number and the Reynolds number?

    <p>Nusselt number increases with an increase in Reynolds number. (D)</p> Signup and view all the answers

    Why is counter-current flow considered more efficient than co-current flow?

    <p>The logarithmic temperature difference is higher. (A)</p> Signup and view all the answers

    What anomaly was observed in Runs 2 and 3 regarding Q values?

    <p>Co-current flow values were higher than expected. (B)</p> Signup and view all the answers

    What influences the individual heat transfer coefficients for hot flow?

    <p>Viscosity values which change with temperature. (C)</p> Signup and view all the answers

    What observation can be made regarding the Q values in theoretical Runs 1 and 4 compared to co-current?

    <p>Counter-current Q values exceeded co-current Q values. (B)</p> Signup and view all the answers

    What is primarily observed in the experiment regarding the Reynolds number?

    <p>Its effect on the heat transfer coefficient. (D)</p> Signup and view all the answers

    How is the volumetric flow rate of the cold stream outlet measured?

    <p>By measuring time for a certain volume of fluid. (A)</p> Signup and view all the answers

    What does the range value in heat exchangers represent?

    <p>The difference between the outlet and inlet temperature of the same stream. (B)</p> Signup and view all the answers

    Why does the co-current flow mode have a smaller range than the counter-current flow?

    <p>Because temperatures of streams converge as they flow in the same direction. (B)</p> Signup and view all the answers

    What is the steady state condition defined by in this experiment?

    <p>When temperature data from a thermocouple remains the same three times in a row. (A)</p> Signup and view all the answers

    What is altered in the experiment to observe the effect on the cold stream?

    <p>The flow direction and flow rate based on pressure difference. (A)</p> Signup and view all the answers

    Which statement accurately describes the approach of co-current heat exchangers?

    <p>It is generally smaller than counter-current approaches. (C)</p> Signup and view all the answers

    What factor is NOT directly measured in this heat transfer experiment?

    <p>Pressure differences in the cold stream. (D)</p> Signup and view all the answers

    What is the formula for calculating the mass flow rate in kg/s?

    <p>$m = 1.223 \times (\Delta P)^{0.5}$ (B)</p> Signup and view all the answers

    Which formula is used to calculate the Reynolds number?

    <p>$Re = \frac{\rho V D}{\mu}$ (C)</p> Signup and view all the answers

    What is the correct expression for the Prandtl number?

    <p>$Pr = \frac{\mu C_p}{k}$ (D)</p> Signup and view all the answers

    For heating, how is the Nusselt number calculated according to the correlation provided?

    <p>$Nu = 0.023 Re^{0.5} Pr^{0.5}$ (A)</p> Signup and view all the answers

    What is the formula used to calculate the overall heat transfer coefficient?

    <p>$U + A = \frac{1}{r} ln(r_1/r_2)$ (B)</p> Signup and view all the answers

    How is the hydraulic diameter ($D_h$) calculated?

    <p>$D_h = D_{outer} - D_{inner}$ (B)</p> Signup and view all the answers

    Which parameter is NOT a requirement for choosing a correlation for Nusselt number?

    <p>Temperature range of $0 \leq T \leq 100$ (C)</p> Signup and view all the answers

    What are the units used for thermal conductivity ($k$) in the context provided?

    <p>W/m·K (D)</p> Signup and view all the answers

    What is the correct formula for calculating the theoretical heat transfer rate?

    <p>𝑄 = 𝑈𝐴(∆𝑇#$) (C)</p> Signup and view all the answers

    How is the volumetric flow rate calculated?

    <p>Volume divided by time (C)</p> Signup and view all the answers

    What is the density of water at 290°C used in the calculations?

    <p>0.7319 kg/m³ (B)</p> Signup and view all the answers

    What does the symbol U represent in the heat transfer equation?

    <p>Overall heat transfer coefficient (B)</p> Signup and view all the answers

    Which of the following is NOT a formula related to calculating heat transfer?

    <p>𝑄 = 𝑚𝐶𝑉(∆𝑇) (B)</p> Signup and view all the answers

    What is the purpose of using the Prandtl number in heat transfer calculations?

    <p>To relate momentum diffusivity to thermal diffusivity (C)</p> Signup and view all the answers

    Which formula is used to calculate the mass flow rate from volumetric flow rate?

    <p>$mass = volume \cdot 𝜌$ (D)</p> Signup and view all the answers

    Flashcards

    What is Heat Transfer Rate?

    The rate at which heat is being transferred in a heat exchanger. It is typically measured in Watts (W).

    What is Thermal Conductivity (k)?

    A measure of how easily heat is transferred through a material. It is typically measured in Watts per meter Kelvin (W/m.K).

    Explain Reynolds Number (Re).

    A dimensionless number that represents the ratio of inertial forces to viscous forces. In this context, it indicates the level of turbulence in a fluid.

    What is Prandtl Number (Pr)?

    A dimensionless number that represents the ratio of momentum diffusivity to thermal diffusivity. It indicates the relative importance of heat transfer by convection and conduction.

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    Explain Viscosity (μ).

    A measure of a substance's resistance to flow. It is typically measured in Newton-seconds per square meter (Ns/m^2).

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    What is Nusselt Number (Nu)?

    A dimensionless number that describes the ratio of heat transfer by convection to heat transfer by conduction. It represents the effectiveness of heat transfer due to fluid motion.

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    What is Log Mean Temperature Difference (ΔTlm)?

    The difference in temperature between two fluids in a heat exchanger, considering the logarithmic mean. It is typically measured in Kelvin (K).

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    What's the main goal of this experiment?

    This experiment investigated the heat transfer dynamics in double-pipe heat exchangers, analyzing how co-current and counter-current flow patterns affect heat transfer coefficients. It also explored the impact of Reynolds number on heat transfer.

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    Range

    The difference between the outlet and inlet temperatures of the same fluid stream in a heat exchanger.

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    Approach

    The difference between the inlet temperature of the hot stream and the outlet temperature of the cold stream in a heat exchanger.

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    Co-current Flow

    A flow pattern in a double-pipe heat exchanger where both the hot and cold streams flow in the same direction.

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    Counter-current Flow

    A flow pattern in a double-pipe heat exchanger where the hot and cold streams flow in opposite directions.

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    Heat Transfer Rate

    A measure of the rate at which heat is transferred between fluids in a heat exchanger.

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    Reynolds Number

    A dimensionless number that describes the ratio of inertial forces to viscous forces in a fluid flow.

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    Heat Transfer Coefficient

    A measure of how effectively heat is transferred from a surface to a fluid.

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    Double-pipe Heat Exchanger

    A type of heat exchanger consisting of two concentric pipes where the hot and cold streams flow in either co-current or counter-current directions.

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    Approach Value

    The difference between the temperature of the hot fluid and the cold fluid at a given point along the heat exchanger.

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    Nusselt Number

    The relationship between heat transfer and the rate at which heat is transferred from a surface to a fluid.

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    Logarithmic Temperature Difference (LMTD)

    The difference in temperature between the hot fluid at the inlet and the cold fluid at the outlet of a heat exchanger.

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    Heat Transfer (Q)

    The amount of heat transferred from one fluid to another in a heat exchanger.

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    Reynolds Number (Re)

    The ratio of inertial forces to viscous forces in a fluid. It indicates the level of turbulence and helps determine the heat transfer regime.

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    Prandtl Number (Pr)

    A dimensionless number representing the ratio of momentum diffusivity to thermal diffusivity. It shows the balance between heat transfer by convection and conduction.

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    Heat Transfer Rate (Q)

    The total amount of heat transferred in a heat exchanger, calculated using the mass flow rates, specific heat capacities, and temperature differences between the hot and cold streams.

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    Log Mean Temperature Difference (ΔTlm)

    The difference in temperature between the hot and cold streams in a heat exchanger, considering the logarithmic mean of the inlet and outlet temperatures.

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    Nusselt Number (Nu)

    The coefficient that describes the effectiveness of heat transfer due to fluid motion. It represents the ratio of heat transfer by convection to conduction.

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    Insufficient Insulation

    The primary reason for differences in experimental results. Lack of insulation leads to heat loss, affecting the accuracy of measurements.

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    What is Reynolds Number (Re)?

    Tells you the ratio of inertial forces to viscous forces in a fluid flow. Higher number means more turbulence.

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    What is Heat Transfer Coefficient?

    A measure of how effectively surface heat is transferred to a fluid. This tells you how well the heat exchanger is performing.

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    What is a double-pipe heat exchanger?

    A type of heat exchanger where two fluids flow in concentric pipes, either in the same or opposite directions. Co-current flows in the same direction. Counter-current flows in opposite directions.

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    What is Approach?

    The difference between the hot stream inlet temperature and the cold stream outlet temperature in a heat exchanger.

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    What is Range?

    The difference between the outlet and inlet temperatures of the same fluid stream in a heat exchanger.

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    What is Volumetric Flow Rate?

    A measure of the rate at which a fluid flows, usually measured in ml/s.

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    Mass Flow Rate Formula

    The mass flow rate of a fluid is proportional to the square root of the pressure difference. It's typically measured in kilograms per second (kg/s).

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    Heat Transfer Coefficient (h)

    The heat transfer coefficient is a measure of how effectively heat can be transferred between a surface and a fluid. Measured in Watts per square meter Kelvin (W/m²K).

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    Overall Heat Transfer Coefficient (U)

    The overall heat transfer coefficient is used to calculate the total heat transfer rate across a composite wall or through a heat exchanger. It's the inverse of the sum of resistances to heat transfer.

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    Hydraulic Diameter (D)

    The hydraulic diameter is used to approximate the diameter of a non-circular flow channel, such as an annular space. It's used for calculations involving fluid flow and heat transfer in such geometries.

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    Thermal Resistance Circuit Analogy

    Analogy used to calculate the overall heat transfer coefficient in a composite wall or heat exchanger. Each resistance to heat transfer is treated as a series circuit element.

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    Study Notes

    Heat Transfer Characteristics of a Double Pipe Heat Exchanger (DP)

    • The study analyzed the thermal dynamics of co-current and counter-current flow double pipe heat exchangers
    • The effect of Reynolds number on heat transfer coefficients was investigated
    • Experimental setup included eight thermocouples and two orifice meters for pressure measurement
    • The setup allowed for precise data collection under various operational conditions
    • Higher Reynolds numbers increased turbulence and improved convective heat transfer
    • A strong relationship was found between Reynolds number and heat transfer coefficient
    • Counter-current flow provided more efficient heat transfer with a constant temperature gradient
    • Co-current flow had decreasing temperature differences throughout the system, resulting in lower thermal efficiency
    • Experimental setup limitations and equipment errors possibly led to unexpected results
    • Maintaining steady-state conditions during experiments was a challenge for accurate heat transfer rate evaluations
    • The research yielded practical findings to validate the theoretical relationship between mass flow rate and pressure drop

    Nomenclature

    • ρ: Density (kg/m³)
    • Cp: Heat Capacity (J/kg⋅K)
    • Q: Heat transfer rates (W)
    • h: Individual heat transfer coefficient (W/m²⋅K)
    • ATlm: Log mean temperature difference (K)
    • m: Mass flow rate (kg/s)
    • NuD: Nusselt number (dimensionless)
    • U: Overall heat transfer coefficient (W/K)
    • Pr: Prandtl number (dimensionless)
    • ΔP: Pressure difference (bar)
    • Re: Reynolds number (dimensionless)
    • k: Thermal conductivity (W/m⋅K)
    • μ: Viscosity (Ns/m²)

    Abstract

    • This study analysed the thermal dynamics of co-current and counter-current flow double pipe heat exchangers, investigating the effect of Reynolds number on heat transfer coefficients.
    • Experiments varied hot and cold fluid velocities to obtain different Reynolds numbers.
    • An expected stronger relationship between Reynolds number and heat transfer coefficient was found with experimental results being affected by experimental setup limitations.
    • Counter current flow had a greater thermal efficiency compared with co-current flow.
    • The study yielded practical findings to validate the theoretical relationship between mass flow rate and pressure drop.

    Experimental Procedure

    • The system used a double pipe heat exchanger to observe the effects of various flows
    • Eight thermocouples measured the temperature of hot and cold fluid flows
    • Ten valves were used to control and arrange flow direction and achieve co/counter current flows
    • Pressure difference was monitored with an orifice meter
    • Steady-state conditions were ensured by monitoring and controlling temperatures and pressure differences.

    Results

    • Data collected on mass flow rates for hot/cold fluids, are presented in a table
    • Temperature changes across the heat exchanger were plotted graphs for both co-current flow and counter-current flow
    • Tables include temperature data for both co-current and counter-current flows for various runs
    • Plots of temperature vs. length for co-current runs are included
    • Plots of temperature vs. length for counter-current runs are included
    • Reynolds numbers were calculated for each fluid stream

    Discussion

    • The primary objective was to study the effect of Reynolds number and temperature differences on heat transfer
    • Experimental observations showed that higher Reynolds number led to increased turbulence and improved convective heat transfer, in line with expectations.
    • Co-current flow had notably lower temperature differences compared to counter-current flow.
    • Differences were observed in experimental results compared to theoretical results, possibly due to limitations in the experimental setup's size, insulation, and unsteady flow rate or instrumentation errors
    • The unsteady flow rate of steam led to varying pressure drop differences in the experiment.

    Conclusion

    • The experiment investigated Reynolds number effects on heat transfer coefficients in co/counter flow heat exchangers
    • It examined the impact of directional flow (co/counter) on heat transfer efficiency within experimental constraints.
    • Findings validated or showed discrepancy with theoretical models.

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    Description

    This quiz explores fundamental concepts related to heat transfer in double pipe heat exchangers. It covers topics such as the impact of Reynolds number on heat exchange efficiency, the use of orifice meters, nomenclature symbols, and the role of thermocouples in experimental setups. Test your knowledge and understanding of these critical engineering principles.

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