Numerical (Water)

Find the Mach number when an aeroplane is flying at 900 km/hour through still air having a pressure of 8.0 N/cm² and temperature -15°C. Take k = 1.4 and R = 287 J/kg K. Calculate the pressure, temperature and density of air at the stagnation point on the nose of the plane.

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Aeroplane Stagnation Properties Calculation Problem Statement Find the Mach number when an aeroplane is flying at 900 km/hour through still […]

Find the Mach number when an aeroplane is flying at 900 km/hour through still air having a pressure of 8.0 N/cm² and temperature -15°C. Take k = 1.4 and R = 287 J/kg K. Calculate the pressure, temperature and density of air at the stagnation point on the nose of the plane. Read More »

A projectile travels in air of pressure 8.829 N/cm² at -10°C at a speed of 1200 km/hour. Find the Mach number and the Mach angle. Take k = 1.4 and R = 287 J/kg K.

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Mach Number and Mach Angle Calculation Problem Statement A projectile travels in air of pressure 8.829 N/cm² at -10°C at

A projectile travels in air of pressure 8.829 N/cm² at -10°C at a speed of 1200 km/hour. Find the Mach number and the Mach angle. Take k = 1.4 and R = 287 J/kg K. Read More »

A projectile is travelling in air having pressure and temperature as 8.829 N/cm² and – 5°C. If the Mach angle is 30°, find the velocity of the projectile. Take k = 1.4 and R = 287 J/kg K.

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Projectile Velocity from Mach Angle Problem Statement A projectile is travelling in air having pressure and temperature as 8.829 N/cm²

A projectile is travelling in air having pressure and temperature as 8.829 N/cm² and – 5°C. If the Mach angle is 30°, find the velocity of the projectile. Take k = 1.4 and R = 287 J/kg K. Read More »

An aeroplane is flying at an height of 20 km, where the temperature is – 40°C. The speed of the plane is corresponding to M = 1.8. Assuming k = 1.4 and R = 287 J/kg K, find the speed of the plane.

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Aircraft Speed Calculation from Mach Number Problem Statement An aeroplane is flying at an height of 20 km, where the

An aeroplane is flying at an height of 20 km, where the temperature is – 40°C. The speed of the plane is corresponding to M = 1.8. Assuming k = 1.4 and R = 287 J/kg K, find the speed of the plane. Read More »

Calculate the Mach number at a point on a jet propelled aircraft which is flying at 900 km/hour at sea-level where air temperature is 15°C. Take k = 1.4 and R = 287 J/kg K.

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Mach Number Calculation for an Aircraft Problem Statement Calculate the Mach number at a point on a jet propelled aircraft

Calculate the Mach number at a point on a jet propelled aircraft which is flying at 900 km/hour at sea-level where air temperature is 15°C. Take k = 1.4 and R = 287 J/kg K. Read More »

Calculate the Mach number at a point on a jet propelled aircraft which is flying at 900 km/hour at sea-level where air temperature is 15°C. Take k = 1.4 and R = 287 J/kg K.

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Mach Number Calculation for an Aircraft Problem Statement Calculate the Mach number at a point on a jet propelled aircraft

Calculate the Mach number at a point on a jet propelled aircraft which is flying at 900 km/hour at sea-level where air temperature is 15°C. Take k = 1.4 and R = 287 J/kg K. Read More »

Find the speed of the sound wave in air at sea-level where the pressure and temperature are 9.81 N/cm² (abs.) and 20°C respectively. Take R = 287 J/kg K and k = 1.4.

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Speed of Sound Calculation Problem Statement Find the speed of the sound wave in air at sea-level where the pressure

Find the speed of the sound wave in air at sea-level where the pressure and temperature are 9.81 N/cm² (abs.) and 20°C respectively. Take R = 287 J/kg K and k = 1.4. Read More »

A gas with a velocity of 350 m/s is flowing through a horizontal pipe at a section where pressure is 8 N/cm² (absolute) and temperature is 30°C. The pipe changes in diameter and at this section the pressure is 12 N/cm² (absolute). Find the velocity of the gas at this section if the flow of the gas is adiabatic. Take R = 287 J/kg K and k = 1.4.

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Adiabatic Gas Flow Velocity Calculation Problem Statement A gas with a velocity of 350 m/s is flowing through a horizontal

A gas with a velocity of 350 m/s is flowing through a horizontal pipe at a section where pressure is 8 N/cm² (absolute) and temperature is 30°C. The pipe changes in diameter and at this section the pressure is 12 N/cm² (absolute). Find the velocity of the gas at this section if the flow of the gas is adiabatic. Take R = 287 J/kg K and k = 1.4. Read More »

A gas is flowing through a horizontal pipe of cross-sectional area of 30 cm². At a point the pressure is 30 N per cm² (gauge) and temperature 20°C. At another section the area of cross-section is 15 cm² and pressure is 25 N/cm² gauge. If the mass rate of flow of gas is 0.15 kg/s, find the velocities of the gas at these two sections, assuming an isothermal change. Take R = 287 J/kg K, and atmospheric pressure 10 N/cm².

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Gas Flow Velocity Calculation Problem Statement A gas is flowing through a horizontal pipe of cross-sectional area of 30 cm².

A gas is flowing through a horizontal pipe of cross-sectional area of 30 cm². At a point the pressure is 30 N per cm² (gauge) and temperature 20°C. At another section the area of cross-section is 15 cm² and pressure is 25 N/cm² gauge. If the mass rate of flow of gas is 0.15 kg/s, find the velocities of the gas at these two sections, assuming an isothermal change. Take R = 287 J/kg K, and atmospheric pressure 10 N/cm². Read More »

A trapezoidal channel with bottom slope 0.000169, bottom width 10 m and side slopes 1 : 1 carries 20 m³/s when Manning’s constant = 0.015. Determine the normal depth.

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Normal Depth Calculation for a Trapezoidal Channel Problem Statement A trapezoidal channel with bottom slope 0.000169, bottom width 10 m

A trapezoidal channel with bottom slope 0.000169, bottom width 10 m and side slopes 1 : 1 carries 20 m³/s when Manning’s constant = 0.015. Determine the normal depth. Read More »

Determine the length of the back water curve caused by an afflux of 1.5 m in a rectangular channel of width 50 m and depth 2.0 m. The slope of the bed is given as 1 in 2000. Take Manning’s, N = 0.03.

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Backwater Curve Length Calculation Problem Statement Determine the length of the back water curve caused by an afflux of 1.5

Determine the length of the back water curve caused by an afflux of 1.5 m in a rectangular channel of width 50 m and depth 2.0 m. The slope of the bed is given as 1 in 2000. Take Manning’s, N = 0.03. Read More »

Find the slope of the free water surface in a rectangular channel of width 15 m, having depth of flow 4 m. The discharge through the channel is 40 m³/s. The bed of the channel is having a slope of 1 in 4000. Take the value of Chezy’s constant, C = 50.

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Gradually Varied Flow – Water Surface Slope Problem Statement Find the slope of the free water surface in a rectangular

Find the slope of the free water surface in a rectangular channel of width 15 m, having depth of flow 4 m. The discharge through the channel is 40 m³/s. The bed of the channel is having a slope of 1 in 4000. Take the value of Chezy’s constant, C = 50. Read More »

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