### Problem 3#### Outcome 5. Please show all work.Air at standard pressure but with \( T = 50^\circ C \) flows through the ducting system shown in the figure. The gauge measures the pressure difference between the downstream and upstream points. All duct sections have circular cross-section. Use the following geometry: - \( D_1 = 60 \, \text{mm} \)- \( D_2 = 200 \, \text{mm} \)- \( L = 2 \, \text{m} \)At this temperature, \( \mu_{\text{air}} = 1.95 \times 10^{-5} \, \text{kg/m·s} \). Also recall that \( R_{\text{air}} = 287 \, \text{J/kg·K} \). The center pipe is smooth with \( \epsilon \simeq 0 \).![Figure for problem 3:](image)#### Figure Description:- The figure is a schematic of a ducting system with two different diameters \( D_1 \) and \( D_2 \) represented.- The fluid flows from left to right.- The initial velocity \( V_{\infty} \) is indicated as entering from the left.- The central section of duct has length \( L \).- There is a gauge in the middle of the central section indicating \( \Delta p \).The velocity entering the system, \( V_{\infty} \), is measured to be 20 m/s. Estimate the \( \Delta p = p_{\text{downstream}} - p_{\text{upstream}} \) measured by the pressure gauge.---In this problem, we are dealing with an air duct system featuring different cross-sectional areas interacting under a specific temperature and pressure. Understanding such fluid dynamics details is essential in fields like HVAC, aerospace, and any industry dealing with pneumatic systems and flow analysis. The equations governing this fluid's behavior under specified parameters and geometry will involve principles of fluid mechanics including Bernoulli's equation, continuity equation, and possibly turbulent or laminar flow considerations based on Reynolds number calculations.

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Problem 3. Outcome 5. Please show all work. Air at standard pressure but with T = 50°C flows through the ducting system shown in the figure. The gauge measures the pressure difference between the downstream and upstream points. All duct sections have circular cross section. Use the following geometry: D₁ = 60 mm, D₂ = 200 mm, L= 2 m. At this temperature, air = 1.95 x 10-³ kg/m-s. Also recall that Rai = 287 J/kg-K. The center pipe is smooth with e≈ 0.

Problem 3. Outcome 5. Please show all work. Air at standard pressure but with T = 50°C flows through the ducting system shown in the figure. The gauge measures the pressure difference between the downstream and upstream points. All duct sections have circular cross section. Use the following geometry: D₁ = 60 mm, D₂ = 200 mm, L= 2 m. At this temperature, air = 1.95 x 10-³ kg/m-s. Also recall that Rai = 287 J/kg-K. The center pipe is smooth with e≈ 0.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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