Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid Formula

GoTemperature of Body by Lumped Heat Capacity Method Formula

GoTemperature Response of Instantaneous Energy Pulse in Semi Infinite Solid at Surface Formula

Fx Copy

LaTeX Copy

Temperature at Any Time T is defined as the temperature of an object at any given time t measured using thermometer. Check FAQs

T = T i + (\frac{Q}{A \cdot ρ B \cdot c \cdot {(π \cdot α \cdot 𝜏)}^{0.5}}) \cdot \exp (\frac{- x^{2}}{4 \cdot α \cdot 𝜏})

T - Temperature at Any Time T?T_i - Initial Temperature of Solid?Q - Heat Energy?A - Area?ρ_B - Density of Body?c - Specific Heat Capacity?α - Thermal Diffusivity?𝜏 - Time Constant?x - Depth of Semi Infinite Solid?π - Archimedes' constant?

Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid Example

With values

With units

Only example

Here is how the Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid equation looks like with Values.

Here is how the Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid equation looks like with Units.

Here is how the Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid equation looks like.

600.0201 = 600 + (\frac{4200}{50.3 \cdot 15 \cdot 1.5 \cdot {(3.1416 \cdot 5.58 \cdot 1937)}^{0.5}}) \cdot \exp (\frac{- {0.02}^{2}}{4 \cdot 5.58 \cdot 1937})

600.0201K = 600K + (\frac{4200J}{50.3m² \cdot 15kg/m³ \cdot 1.5J/(kg*K) \cdot {(3.1416 \cdot 5.58m²/s \cdot 1937s)}^{0.5}}) \cdot \exp (\frac{- {0.02m}^{2}}{4 \cdot 5.58m²/s \cdot 1937s})

600.0201 = 600 + (\frac{4200}{50.3 \cdot 15 \cdot 1.5 \cdot {(3.1416 \cdot 5.58 \cdot 1937)}^{0.5}}) \cdot \exp (\frac{- {0.02}^{2}}{4 \cdot 5.58 \cdot 1937})

Tip: Use pencil () icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Engineering » Chemical Engineering » Heat Transfer » Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid

Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid Solution

Follow our step by step solution on how to calculate Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid?

FIRST Step Consider the formula

T = T i + (\frac{Q}{A \cdot ρ B \cdot c \cdot {(π \cdot α \cdot 𝜏)}^{0.5}}) \cdot \exp (\frac{- x^{2}}{4 \cdot α \cdot 𝜏})

Next Step Substitute values of Variables

∴

T = 600K + (\frac{4200J}{50.3m² \cdot 15kg/m³ \cdot 1.5J/(kg*K) \cdot {(π \cdot 5.58m²/s \cdot 1937s)}^{0.5}}) \cdot \exp (\frac{- {0.02m}^{2}}{4 \cdot 5.58m²/s \cdot 1937s})

Next Step Substitute values of Constants

∴

T = 600K + (\frac{4200J}{50.3m² \cdot 15kg/m³ \cdot 1.5J/(kg*K) \cdot {(3.1416 \cdot 5.58m²/s \cdot 1937s)}^{0.5}}) \cdot \exp (\frac{- {0.02m}^{2}}{4 \cdot 5.58m²/s \cdot 1937s})

Next Step Prepare to Evaluate

∴

T = 600 + (\frac{4200}{50.3 \cdot 15 \cdot 1.5 \cdot {(3.1416 \cdot 5.58 \cdot 1937)}^{0.5}}) \cdot \exp (\frac{- {0.02}^{2}}{4 \cdot 5.58 \cdot 1937})

Next Step Evaluate

∴

T = 600.02013918749K

LAST Step Rounding Answer

∴

T = 600.0201K

Temperature Response of Instantaneous Energy Pulse in Semi Infinite Solid Formula Elements

Variables

Constants

Functions

Temperature at Any Time T

Temperature at Any Time T is defined as the temperature of an object at any given time t measured using thermometer.

Symbol: T

Measurement: TemperatureUnit: K