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Total Thrust given Efficiency and Enthalpy Formula

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Total Thrust is the sum of all the thrusts produced in a system or plant. Check FAQs

T total = m a \cdot ((\sqrt{2 \cdot Δh nozzle \cdot η nozzle}) - V + (\sqrt{η T \cdot η transmission \cdot Δh turbine}))

T_total - Total Thrust?m_a - Mass Flow Rate?Δh_nozzle - Enthalpy Drop in Nozzle?η_nozzle - Nozzle Efficiency?V - Flight Speed?η_T - Turbine Efficiency?η_transmission - Efficiency of Transmission?Δh_turbine - Enthalpy Drop in Turbine?

Total Thrust given Efficiency and Enthalpy Example

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Here is how the Total Thrust given Efficiency and Enthalpy equation looks like with Values.

Here is how the Total Thrust given Efficiency and Enthalpy equation looks like with Units.

Here is how the Total Thrust given Efficiency and Enthalpy equation looks like.

591.9372 = 3.5 \cdot ((\sqrt{2 \cdot 12 \cdot 0.24}) - 111 + (\sqrt{0.86 \cdot 0.97 \cdot 50}))

591.9372N = 3.5kg/s \cdot ((\sqrt{2 \cdot 12KJ \cdot 0.24}) - 111m/s + (\sqrt{0.86 \cdot 0.97 \cdot 50KJ}))

591.9372 = 3.5 \cdot ((\sqrt{2 \cdot 12 \cdot 0.24}) - 111 + (\sqrt{0.86 \cdot 0.97 \cdot 50}))

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Total Thrust given Efficiency and Enthalpy Solution

Follow our step by step solution on how to calculate Total Thrust given Efficiency and Enthalpy?

FIRST Step Consider the formula

T total = m a \cdot ((\sqrt{2 \cdot Δh nozzle \cdot η nozzle}) - V + (\sqrt{η T \cdot η transmission \cdot Δh turbine}))

Next Step Substitute values of Variables

∴

T total = 3.5kg/s \cdot ((\sqrt{2 \cdot 12KJ \cdot 0.24}) - 111m/s + (\sqrt{0.86 \cdot 0.97 \cdot 50KJ}))

Next Step Convert Units

∴

T total = 3.5kg/s \cdot ((\sqrt{2 \cdot 12000J \cdot 0.24}) - 111m/s + (\sqrt{0.86 \cdot 0.97 \cdot 50000J}))

Next Step Prepare to Evaluate

∴

T total = 3.5 \cdot ((\sqrt{2 \cdot 12000 \cdot 0.24}) - 111 + (\sqrt{0.86 \cdot 0.97 \cdot 50000}))

Next Step Evaluate

∴

T total = 591.937241168876N

LAST Step Rounding Answer

∴

T total = 591.9372N

Total Thrust given Efficiency and Enthalpy Formula Elements

Variables

Functions

Total Thrust

Total Thrust is the sum of all the thrusts produced in a system or plant.

Symbol: T_total

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Total Thrust

Mass Flow Rate

Mass Flow Rate represents the amount of mass passing through a system per unit of time.

Symbol: m_a

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Mass Flow Rate

Enthalpy Drop in Nozzle

Enthalpy Drop in Nozzle is the difference of enthalpy of inlet and exit of nozzle.

Symbol: Δh_nozzle

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Enthalpy Drop in Nozzle

Nozzle Efficiency

Nozzle Efficiency is a measure of how effectively a nozzle converts the thermal energy of a fluid into kinetic energy.

Symbol: η_nozzle

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Nozzle Efficiency

Flight Speed

Flight Speed refers to the velocity at which an aircraft moves through the air.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flight Speed

Turbine Efficiency

Turbine Efficiency represents the ratio of the actual work output of a turbine to the maximum(isentropic) work output it could theoretically achieve.

Symbol: η_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Turbine Efficiency

Efficiency of Transmission

Efficiency of Transmission is a measure of how effectively power or energy is transferred from one point to another in a system. It is the ratio of output of transmission to input of transmission.

Symbol: η_transmission

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of Transmission

Enthalpy Drop in Turbine

Enthalpy Drop in Turbine is the difference of enthalpy at inlet and exit of turbine.

Symbol: Δh_turbine

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Enthalpy Drop in Turbine

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Thrust Generation category

Go Ideal Thrust given Effective Speed Ratio

T ideal = m a \cdot V \cdot ((\frac{1}{α}) - 1)

Go Thrust power

T P = m a \cdot V \cdot (V e - V)

How to Evaluate Total Thrust given Efficiency and Enthalpy?

Total Thrust given Efficiency and Enthalpy evaluator uses Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine))) to evaluate the Total Thrust, Total Thrust given Efficiency and Enthalpy is a measure of the total thrust generated by an aircraft engine, calculated by considering the mass flow rate, enthalpy drop in the nozzle, nozzle efficiency, flight speed, turbine efficiency, and transmission efficiency, providing a comprehensive estimate of the engine's performance. Total Thrust is denoted by T_total symbol.

How to evaluate Total Thrust given Efficiency and Enthalpy using this online evaluator? To use this online evaluator for Total Thrust given Efficiency and Enthalpy, enter Mass Flow Rate (m_a), Enthalpy Drop in Nozzle (Δh_nozzle), Nozzle Efficiency (η_nozzle), Flight Speed (V), Turbine Efficiency (η_T), Efficiency of Transmission (η_transmission) & Enthalpy Drop in Turbine (Δh_turbine) and hit the calculate button.

FAQs on Total Thrust given Efficiency and Enthalpy

What is the formula to find Total Thrust given Efficiency and Enthalpy?

The formula of Total Thrust given Efficiency and Enthalpy is expressed as Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine))). Here is an example- 591.9372 = 3.5*((sqrt(2*12000*0.24))-111+(sqrt(0.86*0.97*50000))).

How to calculate Total Thrust given Efficiency and Enthalpy?

With Mass Flow Rate (m_a), Enthalpy Drop in Nozzle (Δh_nozzle), Nozzle Efficiency (η_nozzle), Flight Speed (V), Turbine Efficiency (η_T), Efficiency of Transmission (η_transmission) & Enthalpy Drop in Turbine (Δh_turbine) we can find Total Thrust given Efficiency and Enthalpy using the formula - Total Thrust = Mass Flow Rate*((sqrt(2*Enthalpy Drop in Nozzle*Nozzle Efficiency))-Flight Speed+(sqrt(Turbine Efficiency*Efficiency of Transmission*Enthalpy Drop in Turbine))). This formula also uses Square Root (sqrt) function(s).

Can the Total Thrust given Efficiency and Enthalpy be negative?

Yes, the Total Thrust given Efficiency and Enthalpy, measured in Force can be negative.

Which unit is used to measure Total Thrust given Efficiency and Enthalpy?

Total Thrust given Efficiency and Enthalpy is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Thrust given Efficiency and Enthalpy can be measured.

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Total Thrust given Efficiency and Enthalpy Formula

Total Thrust given Efficiency and Enthalpy Example

Total Thrust given Efficiency and Enthalpy Solution

Total Thrust given Efficiency and Enthalpy Formula Elements

Other formulas in Thrust Generation category

How to Evaluate Total Thrust given Efficiency and Enthalpy?

FAQs on Total Thrust given Efficiency and Enthalpy

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