Air is flowing in a duct as shown in Fig. P 11.13 . A Pitotstatic tube and a thermocouple are in

step 1 Here in this problem I can write the temperature is equal to 40 plus 459 .67 which is equal to 5

Air is flowing in a duct as shown in Fig. P 11.13 . A...

Air is flowing in a duct as shown in Fig. $\mathrm{P} 11.13 .$ A Pitotstatic tube and a thermocouple are inserted into the flow stream as shown. Calculate the air velocity and the air-mass flow rate.

Key Concepts

Pitot-Static Tube

A Pitot-static tube is an instrument used to measure the fluid velocity by capturing both the stagnation (total) pressure and the static pressure. The difference between these pressures, according to Bernoulli's principle, can be used to determine the velocity of the flow.

Bernoulli's Equation

Bernoulli's equation is a fundamental principle in fluid dynamics that links pressure, velocity, and elevation in a flowing fluid under steady, incompressible conditions. It forms the theoretical basis for converting pressure measurements from a Pitot-static tube into fluid velocity values.

Thermocouple Temperature Measurement

A thermocouple is a sensor that measures temperature based on the voltage generated at the junction of two dissimilar metals, exploiting the thermoelectric effect. In flow measurement applications, temperature data is crucial for determining the fluid's density, which affects the velocity and mass flow rate calculations.

Air-Mass Flow Rate Calculation

Calculating the air-mass flow rate involves multiplying the fluid density by the cross-sectional area of the duct and the measured velocity. This concept integrates fluid dynamics and thermodynamic properties to determine the mass of air moving through the duct per unit time.

Fluid Density Determination

Fluid density for gases such as air is influenced by temperature and pressure conditions. Accurate measurement of temperature, often achieved using a thermocouple, is essential to properly determine the air density required for calculating mass flow rates from velocity measurements.

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