Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Consider a normally-aspirated, four-stroke, spark-ignition, 1.8 L four-cylinder engine with a compression ratio of 10. The induction system uses a single throttle body, and the diameter of the throttle body is 42 mm. The air will enter the throttle body at P = 80 kPa and T = 290 K. The air will be throttled from the 80 kPa ambient pressure down to P₁ = 30 kPa in the intake manifold while the engine's crankshaft speed is 4200 rpm. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the temperature of the air in the intake manifold after the air is throttled from P₁ = 80 kPa to P = 30 kPa (answer: T₁ = 288.91 K). b) Find the density and mass flow rate of the air in the intake manifold (answers: P₁ = 0.3618 kg/m³ and m = 0.02533 kg/s). The volume of air in a cylinder at the start of the compression process is , which is the largest volume in a cylinder. The compression ratio, r, is the ratio of the largest volume in the cylinder to the smallest volume in the cylinder. r= V V maxr¹V ⇒V - V = V min max min max min The displacement in each cylinder of this Vmax-min=0.0018/4=.00045 m³ = x V = V(1-²¹)⇒ Vax four-cylinder engine is V ·V max min 1-¹ RPM 1 minute 2 60 seconds' intake An ideal four-stroke cylinder-piston engine behaves like constant volume-rate-of-flow device when it runs at a fixed speed. The crankshaft must make two revolutions in order for a cylinder to execute the Otto cycle. The volume rate of flow through one cylinder after the air passes through the throttle body is ₁=₂₁x² V-V max 1-r-¹ -=.00050 m³. , where is in m³/s if is in m³. The total volume rate of flow of the air through the intake manifold for this four- cylinder engine at 4200 rpm is = 4₁=4×₂ײ RPM 2 1 X== 4x0.00050x 60 min 4200 1 2 X-= 0.070 m³/s. 60

Consider a normally-aspirated, four-stroke, spark-ignition, 1.8 L four-cylinder engine with a compression ratio of 10. The induction system uses a single throttle body, and the diameter of the throttle body is 42 mm. The air will enter the throttle body at P = 80 kPa and T = 290 K. The air will be throttled from the 80 kPa ambient pressure down to P₁ = 30 kPa in the intake manifold while the engine's crankshaft speed is 4200 rpm. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the temperature of the air in the intake manifold after the air is throttled from P₁ = 80 kPa to P = 30 kPa (answer: T₁ = 288.91 K). b) Find the density and mass flow rate of the air in the intake manifold (answers: P₁ = 0.3618 kg/m³ and m = 0.02533 kg/s). The volume of air in a cylinder at the start of the compression process is , which is the largest volume in a cylinder. The compression ratio, r, is the ratio of the largest volume in the cylinder to the smallest volume in the cylinder. r= V V maxr¹V ⇒V - V = V min max min max min The displacement in each cylinder of this Vmax-min=0.0018/4=.00045 m³ = x V = V(1-²¹)⇒ Vax four-cylinder engine is V ·V max min 1-¹ RPM 1 minute 2 60 seconds' intake An ideal four-stroke cylinder-piston engine behaves like constant volume-rate-of-flow device when it runs at a fixed speed. The crankshaft must make two revolutions in order for a cylinder to execute the Otto cycle. The volume rate of flow through one cylinder after the air passes through the throttle body is ₁=₂₁x² V-V max 1-r-¹ -=.00050 m³. , where is in m³/s if is in m³. The total volume rate of flow of the air through the intake manifold for this four- cylinder engine at 4200 rpm is = 4₁=4×₂ײ RPM 2 1 X== 4x0.00050x 60 min 4200 1 2 X-= 0.070 m³/s. 60

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question
intake The mass flow rate of the air through the engine is m = p₁V₁t where ₁ is the density of the air in the intake manifold after it has been throttled from the ambient pressure and temperature to P₁ = 30 kPa and T₁. The ideal gas equation of state may be used to compute the density of the air in the intake manifold: P₁ P₁ -x+ RT air 1 P₁ = Ꭱ Ꭲ air 1 ·→ m = # The speed of the air after it passes through the throttle body is V₁ =Vintake, where A is A the cross-sectional area of the throttle body. Conservation of mass requires V2² V² P.V₁A = P.V₁A and the first law of thermodynamics requires + c₂T₁ = - -+c₂T₁. 2 2 intake Conservation of mass may be used with the ideal gas equation of state to express in terms of unknown temperature T₁: P.V. P.V. P.V₁A=p₂V₂A⇒ To T = V² (P₁₂ To 2 P T₁ ¹⇒V₂ - PT₂ PT |V₂ ⇒ V² 2 = V² (P To 1 2 P T₁ Now the first law of thermodynamics becomes a third-order polynomial in T₁ : 2 P₁ +c‚T₁ = V/_ - + c,‚T,‚ => c,‚² + ( V _ _ c, I. ] T² - (V²) (; 2 2 P T T² = 0 NOV
Transcribed Image Text:intake The mass flow rate of the air through the engine is m = p₁V₁t where ₁ is the density of the air in the intake manifold after it has been throttled from the ambient pressure and temperature to P₁ = 30 kPa and T₁. The ideal gas equation of state may be used to compute the density of the air in the intake manifold: P₁ P₁ -x+ RT air 1 P₁ = Ꭱ Ꭲ air 1 ·→ m = # The speed of the air after it passes through the throttle body is V₁ =Vintake, where A is A the cross-sectional area of the throttle body. Conservation of mass requires V2² V² P.V₁A = P.V₁A and the first law of thermodynamics requires + c₂T₁ = - -+c₂T₁. 2 2 intake Conservation of mass may be used with the ideal gas equation of state to express in terms of unknown temperature T₁: P.V. P.V. P.V₁A=p₂V₂A⇒ To T = V² (P₁₂ To 2 P T₁ ¹⇒V₂ - PT₂ PT |V₂ ⇒ V² 2 = V² (P To 1 2 P T₁ Now the first law of thermodynamics becomes a third-order polynomial in T₁ : 2 P₁ +c‚T₁ = V/_ - + c,‚T,‚ => c,‚² + ( V _ _ c, I. ] T² - (V²) (; 2 2 P T T² = 0 NOV
Consider a normally-aspirated, four-stroke, spark-ignition, 1.8 L four-cylinder engine with a compression ratio of 10. The induction system uses a single throttle body, and the diameter of the throttle body is 42 mm. The air will enter the throttle body at P₁ = 80 kPa and T₁ = 290 K. The air will be throttled from the 80 kPa ambient pressure down to P₁ = 30 kPa in the intake manifold while the engine's crankshaft speed is 4200 rpm. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the temperature of the air in the intake manifold after the air is throttled from P₁ = 80 kPa to P₁ = 30 kPa (answer: T₁ = 288.91 K). b) Find the density and mass flow rate of the air in the intake manifold (answers: P₁ = 0.3618 kg/m³ and m = 0.02533 kg/s). The volume of air in a cylinder at the start of the compression process is , which is the largest volume in a cylinder. The compression ratio, r, is the ratio of the largest volume in the cylinder to the smallest volume in the cylinder. V max ⇒ Vin = r²¹Vmax ⇒ Vmax - Vmin = Vmax (1-r²¹) ⇒ V max V min The displacement in each cylinder of this four-cylinder engine is Vmax - Vin = 0.0018/4 =.00045 m³ ⇒ ¥ = Vmax V-V max 1-r¹ # = An ideal four-stroke cylinder-piston engine behaves like constant volume-rate-of-flow device when it runs at a fixed speed. The crankshaft must make two revolutions in order for a cylinder to execute the Otto cycle. intake V-V max 1-r¹ The volume rate of flow through one cylinder after the air passes through the throttle body is ₁₂= ₁₂x² RPM 1 minute 2 60 seconds = min -=.00050 m³. min The total volume rate of flow of the air through the intake manifold for this four- cylinder engine at 4200 rpm is RPM 1 4200 1 4₁=4×₁₂× ·X = 4x0.00050x- X- = 2 60 2 60 where is in m³/s if is in m³. = 0.070 m³/s.
Transcribed Image Text:Consider a normally-aspirated, four-stroke, spark-ignition, 1.8 L four-cylinder engine with a compression ratio of 10. The induction system uses a single throttle body, and the diameter of the throttle body is 42 mm. The air will enter the throttle body at P₁ = 80 kPa and T₁ = 290 K. The air will be throttled from the 80 kPa ambient pressure down to P₁ = 30 kPa in the intake manifold while the engine's crankshaft speed is 4200 rpm. Model the air as an ideal gas having constant specific heat, using 300 K values from Cengel's tables posted on Canvas. a) Find the temperature of the air in the intake manifold after the air is throttled from P₁ = 80 kPa to P₁ = 30 kPa (answer: T₁ = 288.91 K). b) Find the density and mass flow rate of the air in the intake manifold (answers: P₁ = 0.3618 kg/m³ and m = 0.02533 kg/s). The volume of air in a cylinder at the start of the compression process is , which is the largest volume in a cylinder. The compression ratio, r, is the ratio of the largest volume in the cylinder to the smallest volume in the cylinder. V max ⇒ Vin = r²¹Vmax ⇒ Vmax - Vmin = Vmax (1-r²¹) ⇒ V max V min The displacement in each cylinder of this four-cylinder engine is Vmax - Vin = 0.0018/4 =.00045 m³ ⇒ ¥ = Vmax V-V max 1-r¹ # = An ideal four-stroke cylinder-piston engine behaves like constant volume-rate-of-flow device when it runs at a fixed speed. The crankshaft must make two revolutions in order for a cylinder to execute the Otto cycle. intake V-V max 1-r¹ The volume rate of flow through one cylinder after the air passes through the throttle body is ₁₂= ₁₂x² RPM 1 minute 2 60 seconds = min -=.00050 m³. min The total volume rate of flow of the air through the intake manifold for this four- cylinder engine at 4200 rpm is RPM 1 4200 1 4₁=4×₁₂× ·X = 4x0.00050x- X- = 2 60 2 60 where is in m³/s if is in m³. = 0.070 m³/s.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS