Satish Kumar Dewangan, Santosh Kumar Senapati, Vivek Deshmukh

Stratified flow is a common occurrence for various internal flow based industrial multiphase flow patterns. This involves fully or partially well-defined interface which continuously evolve with space and time. Hence stratified flow analysis essentially involves proper interface capturing approach. The present work focuses on the numerical analysis of oil-water stratified pattern using the Coupled level set and volume of fluid method (CLSVOF) in ANSYS Fluent in a twodimensional channel. The work involves predicting the effect of density ratio, kinematic viscosity and surface tension coefficient on the mixture velocity and total pressure changes. At outset, the final conclusions may be gainfully employed in oil transportation pipeline, chemical industries and in pipeline flow control administration, etc. KeywordsStratified flow, Multiphase flow, Level set method, Volume of fluid, CLSVOF. Nomenclature Symbols Greek letters k = Thermal conductivity of fluid (W/m-k) ρ = Density of fluid Cp = Specific heat of fluid (J/kg-K) μ = Viscosity of fluid P = Pressure (pa) σ = Surface tension coefficient m ̇ = mass flux (Kg-s/m) α = contact angle r = Volume fraction τ = shear stress Vm = Mixture velocity (m/s) ɸ = Level set function Vo = Superficial velocity of oil (m/s) δ = Dirac delta function Vw = Superficial velocity of water (m/s) Г = interface B = Body force per unit volume θ = inlet to wall temperature ratio x = space coordinate € = Half of the thickness of interface t = time (s) ?̂?(ɸ) = Unit vector normal to interface Abbreviations S€ = smoothed sign function CLSVOF: Coupled level set and volume of fluid ΔX ΔY = size of control volume in x and y directions LSM: Level set method H = Heaviside function or Unit step function VOF: Volume of fluid ∂P/∂x = pressure gradient (Pa/m) PISO Pressure implicit with splitting of operator Subscripts PRESTO: PREssure STaggering Option m = mean DGLSM: Dual Grid LSM 1 & 2 = phase 1 & phase 2 CFD: Computational fluid dynamics International Journal of Mathematical, Engineering and Management Sciences Vol. 5, No. 4, 602-613, 2020 https://doi.org/10.33889/IJMEMS.2020.5.4.049 603