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# Numerical Analysis of Droplet Dynamics Under Different Temperature and Cross-Flow Velocity Conditions

[+] Author and Article Information
Manabendra Pathak

Department of Mechanical Engineering, Indian Institute of Technology Patna, Patna, Bihar 800013, Indiampathak@iitp.ac.in

J. Fluids Eng 134(4), 044501 (Apr 20, 2012) (6 pages) doi:10.1115/1.4006427 History: Received June 10, 2011; Revised March 20, 2012; Published April 19, 2012; Online April 20, 2012

## Abstract

Numerical investigations have been performed to investigate the dynamics of a single liquid droplet formation in another immiscible cross-flow liquid for different values of cross-flow velocities and temperature difference between the two phases. The transient growth of the droplet and detachment time have been calculated by solving Navier-Stokes equation for two-phase flow using coupled level-set and volume of fluid method. The effect of temperature on surface tension has been incorporated in numerical simulation by modeling the surface tension as a linear function of temperature. The effects of cross-flow velocity and temperature in the evolution and detachment of the droplet have been investigated from the balance of different forces acting on the system. With the increase in cross-flow velocity, the diameter of the droplet decreases and droplet detachment time increases. While with the increase in cross-flow temperature, both the diameter and detachment time decreases.

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## Figures

Figure 6

Droplet diameter at different temperature difference (heated cross-flow)

Figure 7

Evolution of droplet for Rv  = 1, Δ T = - 52

Figure 1

Computational domain and boundary conditions

Figure 2

Validation with analytical results

Figure 3

Evolution of droplets at isothermal conditions, (a) Rv  = 0.5, (b) Rv  = 1.0, Δ T = 0

Figure 4

Evolution of droplets, for Rv  = 0.5, (a) Δ T = 25, (b) Δ T = 52, (c) Δ T = 80

Figure 5

Growth of droplets at different time interval

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