and (b) Height of neutral plane = 6.96 m from the floor ade and openings according to the figure below and an ongoing. ith a gas temperature of T, = 800°C. Set up the mass balance

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
icon
Related questions
Question
1:49
AA
125 of 317
Tg
-20°C
12
Suggested answer: (a) and (b) Height of neutral plane = 6.96 m from the floor
5.4 An enclosure has a facade and openings according to the figure below and an ongoing,
fully developed fire with a gas temperature of T, = 800°C. Set up the mass balance
equations and calculate
(a) the position of the neutral plane
(b) the pressure difference across the openings
(c) the mass flow rates through the openings
The openings can be considered to be narrow with respect to height.
1m
14m
12m
Suggested answer: (a) Neutral layer position is 1.51 m up from the center of the lower
opening; (b) APwer = 12.9 Pa, APer = 107 Pa; (c) m, = 47 kg/s, m = 47 kg/s.
5.5 An atrium in a hotel building is 20 m high and has a floor area of 600 m?. The atrium has
relatively large openings at the floor level (10 m). An elevator door, which is 15 m above
the floor, has a leakage area of 0.06 m², and smoke can spread from the atrium to the rest
of the building, mainly through this leak. If the gas temperature in the atrium is 250°C and
the ambient temperature is 20°C, calculate the mass flow rate through the elevator door.
Suggested answer: Assuming the pressure difference across the lower opening to be =0,
the pressure difference at 15 m height causes m, = 0.43 kg/s.
5.6 An apartment building has 16 levels that are each 3 m high, connected by a stairwell. The
apartments have relatively large leakage areas to the outside and the temperature in the
apartments is 20°C, as is the ambient outside temperature. The pressure in the apartments
is therefore assumed to be equal to the pressure outside. A relatively weak fire in some
rubbish fills the stairwell with smoke at a temperature of 60°C. The leakage area between
the apartments and the stairwell is =0.03 m per level. Assume C, = 0.7 and p, = 1.2 kg/m².
Calculate the mass flow rate of smoke into the top most apartment if
(a) the stairwell has no other openings
(b) a door of 2 m? at the bottom level is open
Suggested answer: Assuming the top opening to be situated 1.5 m from the top of the
building, we get (a) m, = 0.17 kg/s; (b) m = 0.26 kg/s
O 2000 by CRC Press LIC
Transcribed Image Text:1:49 AA 125 of 317 Tg -20°C 12 Suggested answer: (a) and (b) Height of neutral plane = 6.96 m from the floor 5.4 An enclosure has a facade and openings according to the figure below and an ongoing, fully developed fire with a gas temperature of T, = 800°C. Set up the mass balance equations and calculate (a) the position of the neutral plane (b) the pressure difference across the openings (c) the mass flow rates through the openings The openings can be considered to be narrow with respect to height. 1m 14m 12m Suggested answer: (a) Neutral layer position is 1.51 m up from the center of the lower opening; (b) APwer = 12.9 Pa, APer = 107 Pa; (c) m, = 47 kg/s, m = 47 kg/s. 5.5 An atrium in a hotel building is 20 m high and has a floor area of 600 m?. The atrium has relatively large openings at the floor level (10 m). An elevator door, which is 15 m above the floor, has a leakage area of 0.06 m², and smoke can spread from the atrium to the rest of the building, mainly through this leak. If the gas temperature in the atrium is 250°C and the ambient temperature is 20°C, calculate the mass flow rate through the elevator door. Suggested answer: Assuming the pressure difference across the lower opening to be =0, the pressure difference at 15 m height causes m, = 0.43 kg/s. 5.6 An apartment building has 16 levels that are each 3 m high, connected by a stairwell. The apartments have relatively large leakage areas to the outside and the temperature in the apartments is 20°C, as is the ambient outside temperature. The pressure in the apartments is therefore assumed to be equal to the pressure outside. A relatively weak fire in some rubbish fills the stairwell with smoke at a temperature of 60°C. The leakage area between the apartments and the stairwell is =0.03 m per level. Assume C, = 0.7 and p, = 1.2 kg/m². Calculate the mass flow rate of smoke into the top most apartment if (a) the stairwell has no other openings (b) a door of 2 m? at the bottom level is open Suggested answer: Assuming the top opening to be situated 1.5 m from the top of the building, we get (a) m, = 0.17 kg/s; (b) m = 0.26 kg/s O 2000 by CRC Press LIC
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Properties of Fluids
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY