Probelm Statement: Compressed air at 40 ∘C and 145 kPa from a large tank is discharged to ambient atmosphere at 101 kPa, through a convergent nozzle of 10 cm2 exit area,Calculate the mass flow rate through the nozzle when the ambient atmosphere is at (a) 101 kPa, (b) 50 kPa, and (c) 30 kPa. Equations […]
pressure ratio, mach number, velocity,density,speed of sound,mach number Read More »
Problem statement:A flow at 60 m s−1 enters a nozzle kept horizontal. The specific enthalpy at the nozzle inlet and exit is 3025 and 2790 kJ kg−1, respectively,Neglecting the heat loss from the nozzle, calculate (a) the flow velocity at the nozzle exit, (b) the mass flow rate through the nozzle, if the inlet area
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problem statement: Helium gas from a storage tank at 1000 kPa and 310 K is flowing out through a convergent nozzle of exit area 3 cm2 to another tank.When the mass flow rate is 0.15 kg s−1, determine the pressure in the second tank. Solution Equations used: 2: Mach Number: 3:Pressure: 4: Isentropic Relations: Isentropic
Mass flow rate, mach number, pressure, Isentropic Relation Read More »
The speed of sound (a) is equal to the square root of the ratio of specific heats (g) times the gas constant (R) times the absolute temperature (T). The derivation of this equation is given on a separate page. Notice that the temperature must be specified on an absolute scale (Kelvin or Rankine). calculator developed by- Pawan Indalkar
speed of sound, mach number, isentropic relations Read More »
– Hypersonic and High-Temperature Gas Dynamics, John D. Anderson, Jr. This formula calculates the wall temperature of a hypersonic vehicle based on the freestream velocity and temperature. It is crucial for determining thermal loads and designing the thermal protection systems required for vehicles moving at hypersonic speeds. Symbols: Tw​: Wall temperature (K) Te​: Freestream temperature
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– Hypersonic and High-Temperature Gas Dynamics, John D. Anderson, Jr. This formula calculates the boundary layer thickness in hypersonic flows. The boundary layer is a thin layer of air near the surface of a vehicle where the flow velocity changes from zero to the freestream velocity. Understanding boundary layer thickness is critical for predicting drag
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– Hypersonic and High-Temperature Gas Dynamics, John D. Anderson, Jr. This formula calculates the ratio of specific heat in hypersonic flows. The specific heat ratio is a key parameter in a compressible flow, influencing shock wave behaviour and thermodynamic properties of gases at high speeds. Symbols: γ: Ratio of specific heats (dimensionless) Cp​: Specific heat
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– Hypersonic and High-Temperature Gas Dynamics, John D. Anderson, Jr. This formula calculates the dynamic pressure in a hypersonic flow. Dynamic pressure is a key parameter in determining the aerodynamic forces on a body moving through a fluid, especially at high Mach numbers. Symbols: q1​: Dynamic pressure γ: Ratio of specific heats (dimensionless) p1​: Freestream
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– Hypersonic and High-Temperature Gas Dynamics, John D. Anderson, Jr. This formula calculates the Stanton number in hypersonic flows, which is a measure of the heat transfer rate relative to the convective heat transport. It is a critical parameter in analysing thermal protection systems for hypersonic vehicles. Ch​: Stanton number (dimensionless) qw: Heat flux at
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