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An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine?
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An inward flow reaction turbine has external and internal diameters as...
Calculation of Hydraulic Efficiency of Inward Flow Reaction Turbine
Given:
External Diameter (D1) = 1.095 m
Internal Diameter (D2) = 0.553 m
Runner Velocity (V) = 2.0 m/s
Width of Turbine at Inlet (B1) = 241 mm
Guide Blade Angle (α) = 10.5°
Outlet Discharge (Radial)
Turbine Speed (N) = 210 RPM
Assumptions:
The velocity of flow through the runner remains constant.
The flow is incompressible.
The losses in the turbine are negligible.
The inlet and outlet velocities are radial.
The turbine operates under steady-state conditions.
Calculation:
Step 1: Calculation of Specific Speed (Ns)
Specific Speed (Ns) = N (RPM) * √(Q (m^3/s)) / H^(3/4) where Q is discharge and H is head.
Since the discharge is not given, we assume the turbine to operate at the best efficiency point (BEP) and use the following formula:
Q = (π/4) * B1 * V * (D1 + D2)/2
Q = (π/4) * 0.241 * 2.0 * (1.095 + 0.553)/2 = 0.282 m^3/s
Head (H) = V^2 / (2g) where g is acceleration due to gravity.
H = 2^2 / (2 * 9.81) = 0.204 m
Therefore, Ns = 210 * √(0.282) / 0.204^(3/4) = 110.29
Step 2: Calculation of Specific Speed Ratio (Ns/N)
Specific Speed Ratio (Ns/N) = Ns / N
Specific Speed Ratio (Ns/N) = 110.29 / 210 = 0.525
Step 3: Calculation of Hydraulic Efficiency (ηh)
Hydraulic Efficiency (ηh) = (Ns/N)^0.25
Hydraulic Efficiency (ηh) = 0.525^0.25 = 0.870
Explanation:
Hydraulic efficiency is the ratio of the power output of the turbine to the power input of the fluid. It is a measure of the effectiveness of the turbine in converting the potential energy of the fluid into mechanical energy. In this case, the hydraulic efficiency of the inward flow reaction turbine is found to be 0.870, which indicates that the turbine is efficient in converting the potential energy of the fluid into mechanical energy. The specific speed ratio (Ns/N) is a measure of the shape of the turbine and is used to compare the performance of different turbines. A higher specific speed ratio indicates a better performance.
Given:
External Diameter (D1) = 1.095 m
Internal Diameter (D2) = 0.553 m
Runner Velocity (V) = 2.0 m/s
Width of Turbine at Inlet (B1) = 241 mm
Guide Blade Angle (α) = 10.5°
Outlet Discharge (Radial)
Turbine Speed (N) = 210 RPM
Assumptions:
The velocity of flow through the runner remains constant.
The flow is incompressible.
The losses in the turbine are negligible.
The inlet and outlet velocities are radial.
The turbine operates under steady-state conditions.
Calculation:
Step 1: Calculation of Specific Speed (Ns)
Specific Speed (Ns) = N (RPM) * √(Q (m^3/s)) / H^(3/4) where Q is discharge and H is head.
Since the discharge is not given, we assume the turbine to operate at the best efficiency point (BEP) and use the following formula:
Q = (π/4) * B1 * V * (D1 + D2)/2
Q = (π/4) * 0.241 * 2.0 * (1.095 + 0.553)/2 = 0.282 m^3/s
Head (H) = V^2 / (2g) where g is acceleration due to gravity.
H = 2^2 / (2 * 9.81) = 0.204 m
Therefore, Ns = 210 * √(0.282) / 0.204^(3/4) = 110.29
Step 2: Calculation of Specific Speed Ratio (Ns/N)
Specific Speed Ratio (Ns/N) = Ns / N
Specific Speed Ratio (Ns/N) = 110.29 / 210 = 0.525
Step 3: Calculation of Hydraulic Efficiency (ηh)
Hydraulic Efficiency (ηh) = (Ns/N)^0.25
Hydraulic Efficiency (ηh) = 0.525^0.25 = 0.870
Explanation:
Hydraulic efficiency is the ratio of the power output of the turbine to the power input of the fluid. It is a measure of the effectiveness of the turbine in converting the potential energy of the fluid into mechanical energy. In this case, the hydraulic efficiency of the inward flow reaction turbine is found to be 0.870, which indicates that the turbine is efficient in converting the potential energy of the fluid into mechanical energy. The specific speed ratio (Ns/N) is a measure of the shape of the turbine and is used to compare the performance of different turbines. A higher specific speed ratio indicates a better performance.
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An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine?
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An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine?.
An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine?.
Solutions for An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine?, a detailed solution for An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? has been provided alongside types of An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5o to the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following: vii) The hydraulic efficiency of the turbine? theory, EduRev gives you an
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