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Air at 20⁰C and with 1 bar pressure is flowing over a flat plate at velocity of 2.801 m/s. If the if the plate is 27.5 cm wide and at 60⁰C, calculate the value of boundary layer thickness, average fraction coefficient, shear stress due to friction, local convective heat transfer coefficient, average heat transfer coefficient, rate of heat transfer by convection and total drag on the plate. Density: 1.1298 kg/m³, cp= 1.004 kJ/kg⁰C, k=0.02774 w/m⁰C, kinematic viscosity is 17.13 × 10^-6 m²/sec?
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Air at 20⁰C and with 1 bar pressure is flowing over a flat plate at ve...
Calculation of Boundary Layer Thickness, Friction Coefficient, Heat Transfer Coefficient, Rate of Heat Transfer and Total Drag on the Plate


Given:



  • Air temperature: 20⁰C

  • Air pressure: 1 bar

  • Air velocity: 2.801 m/s

  • Plate width: 27.5 cm

  • Plate temperature: 60⁰C

  • Density of air: 1.1298 kg/m³

  • Specific heat of air: 1.004 kJ/kg⁰C

  • Thermal conductivity of air: 0.02774 w/m⁰C

  • Kinematic viscosity of air: 17.13 × 10^-6 m²/sec



Boundary Layer Thickness Calculation:


The boundary layer thickness can be calculated using the following formula:

δ = 5.0 * x / √(Re_x)

where,
x = distance from the leading edge of the plate
Re_x = Reynolds number at x

As the Reynolds number is not provided, we cannot calculate the boundary layer thickness.

Average Friction Coefficient Calculation:


The average friction coefficient can be calculated using the following formula:

Cf = (τ_w / (ρ * V^2 / 2))

where,
τ_w = shear stress at the wall
ρ = density of air
V = velocity of air

The shear stress at the wall can be calculated using the following formula:

τ_w = μ * (dV / dy)|y=0

where,
μ = dynamic viscosity of air
dV/dy = velocity gradient at the wall

As the velocity gradient at the wall is not provided, we cannot calculate the average friction coefficient.

Shear Stress Due to Friction Calculation:


The shear stress due to friction can be calculated using the following formula:

τ_w = (0.664 * μ * V) / √Re_x

where,
Re_x = Reynolds number at x

As the Reynolds number is not provided, we cannot calculate the shear stress due to friction.

Local Convective Heat Transfer Coefficient Calculation:


The local convective heat transfer coefficient can be calculated using the following formula:

h = (k * Nu) / d

where,
k = thermal conductivity of air
Nu = Nusselt number
d = characteristic length

The Nusselt number can be calculated using the following formula:

Nu_x = (h * x) / k

where,
x = distance from the leading edge of the plate

As the characteristic length is not provided, we cannot calculate the local convective heat transfer coefficient.

Average Heat Transfer Coefficient Calculation:


The average heat transfer coefficient can be calculated using the following formula:

h_avg = Q / (A * (T_s - T_∞))

where,
Q = rate of heat transfer
A = surface area of the plate
T_s = temperature of the plate
T_∞ = temperature of the air

As the rate of heat transfer is not provided, we cannot
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Air at 20⁰C and with 1 bar pressure is flowing over a flat plate at velocity of 2.801 m/s. If the if the plate is 27.5 cm wide and at 60⁰C, calculate the value of boundary layer thickness, average fraction coefficient, shear stress due to friction, local convective heat transfer coefficient, average heat transfer coefficient, rate of heat transfer by convection and total drag on the plate. Density: 1.1298 kg/m³, cp= 1.004 kJ/kg⁰C, k=0.02774 w/m⁰C, kinematic viscosity is 17.13 × 10^-6 m²/sec?
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Air at 20⁰C and with 1 bar pressure is flowing over a flat plate at velocity of 2.801 m/s. If the if the plate is 27.5 cm wide and at 60⁰C, calculate the value of boundary layer thickness, average fraction coefficient, shear stress due to friction, local convective heat transfer coefficient, average heat transfer coefficient, rate of heat transfer by convection and total drag on the plate. Density: 1.1298 kg/m³, cp= 1.004 kJ/kg⁰C, k=0.02774 w/m⁰C, kinematic viscosity is 17.13 × 10^-6 m²/sec? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Air at 20⁰C and with 1 bar pressure is flowing over a flat plate at velocity of 2.801 m/s. If the if the plate is 27.5 cm wide and at 60⁰C, calculate the value of boundary layer thickness, average fraction coefficient, shear stress due to friction, local convective heat transfer coefficient, average heat transfer coefficient, rate of heat transfer by convection and total drag on the plate. Density: 1.1298 kg/m³, cp= 1.004 kJ/kg⁰C, k=0.02774 w/m⁰C, kinematic viscosity is 17.13 × 10^-6 m²/sec? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air at 20⁰C and with 1 bar pressure is flowing over a flat plate at velocity of 2.801 m/s. If the if the plate is 27.5 cm wide and at 60⁰C, calculate the value of boundary layer thickness, average fraction coefficient, shear stress due to friction, local convective heat transfer coefficient, average heat transfer coefficient, rate of heat transfer by convection and total drag on the plate. Density: 1.1298 kg/m³, cp= 1.004 kJ/kg⁰C, k=0.02774 w/m⁰C, kinematic viscosity is 17.13 × 10^-6 m²/sec?.
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