### Process Fluid Pressure Drops in Heater Tubes

##### Understanding Pressure Drop Calculation and Analysis in Fired Heaters

Introduction:
Process fluid pressure drops play a critical role in the performance and efficiency of Fired Heaters. Proper understanding and analysis of pressure drops within the heater tubes are crucial for optimizing heat transfer, maintaining safe operations, and maximizing overall efficiency. This article delves into the calculation equations and discussion of vaporization two-phase flows, highlighting the significance of HeaterSIM in analysing and optimizing process fluid pressure drops in Fired Heater tubes. API 560 Fired Heaters in Refining and Petrochemical Sites

1. Calculation of Pressure Drops:
The pressure drop in Fired Heater tubes can be calculated using various empirical equations, such as the Darcy-Weisbach equation, the Fanning friction factor equation, or the Moody chart. The Darcy-Weisbach equation is commonly used and can be represented as:

ΔP = f × (L/D) × (ρ × V²) / 2

Where:
ΔP = Pressure drop (Pa)
f = Friction factor
L = Length of the tube (m)
D = Diameter of the tube (m)
ρ = Density of the process fluid (kg/m³)
V = Velocity of the process fluid (m/s)

The friction factor (f) depends on the flow regime and can be determined using correlations based on Reynolds number, surface roughness, and tube geometry. The calculation of pressure drops enables operators to assess the energy losses and evaluate the impact on overall system performance.

2. Two-Phase Flow and Vaporization:
In some Fired Heater applications, the process fluid may undergo a two-phase flow, where it exists as both a liquid and a vapor. This typically occurs when the process fluid reaches its boiling point within the tubes. Vaporization introduces additional complexities and influences the pressure drop calculation.

For two-phase flows, empirical correlations such as the Lockhart-Martinelli method can be used to estimate the pressure drop. This method incorporates parameters such as the quality (ratio of vapor mass flow rate to total mass flow rate), density ratios, and flow regime characteristics to determine pressure drop accurately.

Understanding and optimizing the behaviour of two-phase flow is crucial for maximizing heat transfer efficiency, ensuring safe operations, and achieving optimal performance in fired heaters.

2.1 Understanding Two-Phase Vaporizing Flow:

Two-phase vaporizing flow involves the simultaneous presence of both liquid and vapor phases within the heater tubes. It occurs when the process fluid reaches its saturation temperature, causing phase transition. The liquid phase absorbs heat from the surrounding environment, undergoes vaporization, and transforms into a vapor phase. This phase change process influences heat transfer and poses unique challenges in heater tube design and operation.

2.2 Importance of Heat Transfer in Two-Phase Flow:

Heat transfer in two-phase vaporizing flow plays a vital role in the overall efficiency of fired heaters. Efficient heat transfer allows for effective utilization of thermal energy and ensures optimal performance. The heat transfer process involves the absorption of heat by the liquid phase, its conversion into vapor, and the transfer of vapor through the heater tubes. Enhancing heat transfer capabilities in two-phase flow is crucial for maximizing energy efficiency.

2.3 Strategies for Optimizing Two-Phase Vaporizing Flow:

a. Increasing Heat Transfer Surface Area: Increasing the surface area available for heat transfer can improve the efficiency of two-phase vaporizing flow. Strategies such as using extended surfaces, increasing the number of heater tubes, or employing finned tubes can enhance the heat transfer area and promote efficient vaporization.

b. Enhancing Flow Turbulence: Creating turbulence within the flow helps in enhancing the contact between the liquid and the heating surface, facilitating better heat transfer. Techniques such as inserting turbulence factors, altering tube geometries, or using flow-enhancing devices can promote turbulence and improve heat transfer characteristics.

c. Controlling Flow Velocity: Optimizing the flow velocity of the two-phase vaporizing flow is essential. Higher velocities can enhance heat transfer, but excessive velocities may lead to pressure drop issues and reduced efficiency. Finding the optimal flow velocity is crucial for achieving the desired heat transfer and system performance.

2.4 Modelling and Simulation with HeaterSIM:

HeaterSIM, a powerful simulation software, enables engineers and operators to model and simulate two-phase vaporizing flow inside heater tubes accurately. It provides insights into the flow behaviour, heat transfer characteristics, and pressure drop profiles, allowing for optimization and performance improvements. HeaterSIM incorporates advanced computational fluid dynamics (CFD) capabilities to visualize flow patterns, predict heat transfer coefficients, and analyse system performance.

3. Calculation Equations:

a. Heat Transfer Coefficient: The heat transfer coefficient (h) in two-phase flow can be calculated using various correlations, such as the Dittus-Boelter equation, Chilton-Colburn analogy, or Gnielinski equation. These equations relate the heat transfer coefficient to the fluid properties, flow conditions, and tube geometries.

3.1 Dittus-Boelter Equation:
The Dittus-Boelter equation relates the heat transfer coefficient (h) to the fluid properties, flow conditions, and tube geometries for turbulent flow:

Nu = 0.023 * Re^0.8 * Pr^0.4

Where:
Nu is the Nusselt number
Re is the Reynolds number (ρ * V * D / μ)
Pr is the Prandtl number (μ * Cp / k)
ρ is the fluid density
V is the fluid velocity
D is the tube diameter
μ is the fluid viscosity
Cp is the fluid specific heat capacity
k is the fluid thermal conductivity

The heat transfer coefficient (h) can then be calculated using:

h = (Nu * k) / D

3.2 Chilton-Colburn Analogy:
The Chilton-Colburn analogy relates the heat transfer coefficient (h) for convective heat transfer to the friction factor (f) for fluid flow in a tube:

h = (f / 8) * (Re - 1000) * (Pr / (1 + 12.7 * (f / 8)^0.5 * (Pr^(2/3) - 1)))

Where:
f is the Darcy friction factor
Re is the Reynolds number
Pr is the Prandtl number

3.3 Gnielinski Equation:
The Gnielinski equation provides an empirical correlation for the Nusselt number (Nu) in turbulent flow:

Nu = (f / 8) * (Re - 1000) * Pr / (1 + 12.7 * (f / 8)^0.5 * (Pr^(2/3) - 1))

Where:
f is the Darcy friction factor
Re is the Reynolds number
Pr is the Prandtl number

Please note that these equations are general correlations and may have variations or modifications based on specific applications and assumptions. It is important to consider the appropriate correlations and factors relevant to the specific scenario and fluid properties.

4. Analysing and Optimizing Pressure Drops
HeaterSIM software offers advanced capabilities for analysing and optimizing pressure drops in Fired Heater tubes. By simulating the flow behaviour, fluid properties, and geometry within the tubes, HeaterSIM provides accurate predictions of pressure drops and facilitates optimization strategies. The software incorporates empirical correlations, such as the Darcy-Weisbach equation and the Lockhart-Martinelli method, enabling operators to visualize pressure drop profiles, identify areas of concern, and optimize tube configurations for improved efficiency.

Summary:
Accurate calculation and analysis of process fluid pressure drops in Fired Heater tubes are crucial for optimizing heat transfer and maximizing overall efficiency. By utilizing equations such as the Darcy-Weisbach equation and the Lockhart-Martinelli method, operators can estimate pressure drops in single-phase and two-phase flows, respectively.

The incorporation of advanced simulation tools like HeaterSIM enhances the accuracy and efficiency of pressure drop calculations, allowing operators to visualize flow behaviour, identify optimization opportunities, and ensure safe and efficient operation of Fired Heaters. Leveraging HeaterSIM empowers operators to optimize tube configurations, minimize energy losses, and improve the overall performance of Fired Heater systems.

#### Need more help?

##### Other articles:
###### Projects
Hire an expert Custom Technology
###### Help LinkedIn