Nusselt Number By Sieder Tate For Shorter Tubes Calculator

Sieder-Tate Equation for Shorter Tubes:

\[ Nu = 1.86 \times (Re)^{1/3} \times (Pr)^{1/3} \times \left(\frac{d}{l}\right)^{1/3} \times \left(\frac{\mu_b}{\mu_{pw}}\right)^{0.14} \]

Reynolds Number (Re):

Prandtl Number (Pr):

Diameter of Tube (d):

Length of Cylinder (l):

Fluid Viscosity (at fluid bulk temperature) (μb):

Pa·s

Fluid Viscosity (At pipe wall temperature) (μpw):

Pa·s

Nusselt Number (Nu):

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1. What is the Sieder-Tate Equation for Shorter Tubes?

The Sieder-Tate equation is a correlation used to calculate the Nusselt number for laminar flow in shorter tubes. It accounts for the entrance effects and viscosity variations due to temperature differences between the fluid bulk and pipe wall.

2. How Does the Calculator Work?

The calculator uses the Sieder-Tate equation:

\[ Nu = 1.86 \times (Re)^{1/3} \times (Pr)^{1/3} \times \left(\frac{d}{l}\right)^{1/3} \times \left(\frac{\mu_b}{\mu_{pw}}\right)^{0.14} \]

Where:

\( Nu \) — Nusselt Number
\( Re \) — Reynolds Number
\( Pr \) — Prandtl Number
\( d \) — Diameter of Tube (m)
\( l \) — Length of Cylinder (m)
\( \mu_b \) — Fluid Viscosity at fluid bulk temperature (Pa·s)
\( \mu_{pw} \) — Fluid Viscosity at pipe wall temperature (Pa·s)

Explanation: The equation accounts for the developing thermal boundary layer in shorter tubes and viscosity corrections due to temperature variations.

3. Importance of Nusselt Number Calculation

Details: The Nusselt number is crucial for determining convective heat transfer coefficients in fluid flow systems. Accurate calculation helps in designing efficient heat exchangers and thermal systems.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: When is the Sieder-Tate equation applicable?
A: The equation is valid for laminar flow (Re < 2300) in shorter tubes where entrance effects are significant.

Q2: What are the limitations of this equation?
A: The equation assumes constant fluid properties except viscosity, and is specifically for circular tubes with fully developed velocity profile.

Q3: How does tube length affect the Nusselt number?
A: Shorter tubes have higher Nusselt numbers due to developing thermal boundary layers and entrance effects.

Q4: Why is the viscosity ratio important?
A: The viscosity ratio accounts for temperature-dependent viscosity variations between the bulk fluid and pipe wall, which affect the heat transfer rate.

Q5: Can this equation be used for turbulent flow?
A: No, the Sieder-Tate equation is specifically designed for laminar flow conditions in shorter tubes.