Direct Numerical Simulation of Liquid Flow in a Horizontal Microchannel

Date

2005-07-21

Author

Tarı, İlker

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

212
views

0
downloads

Numerical Simulations of liquid flow in a micro-channel between two horizontal plates are performed. The channel is infinite in streamwise and spanwise directions and its height is taken as 3.1 x 10(-4) m which falls within the dimension ranges of micro-channels. The Navier-Stokes equations with the addition of Brinkman number (Br) to the energy equation are used as the governing equations and a spectral methods based approach is applied to obtain the required accuracy to handle liquid flow in the micro-channel. It is known for micro-channels that Br combines the effects of conduction and viscous dissipation in liquids and is also a way of comparing the importance of later relative to former. A laminar flow of a liquid in a micro-channel shows different characteristics compared to a similar flow in a macro-channel. To observe the differences, three different cases are run over each of a range of Reynolds numbers: one with no axial conduction assumption that correspond to a case similar to macro-channel flow, another case with axial conduction included in the energy equation to simulate one of the main differences and lastly a case with inclusion of Br number in the governing equations. The results are compared with each other to see the effects of axial conduction and Br inclusion. A qualitative comparison is made with the previous results in literature.

Subject Keywords

Micro-channel flow, Brinkmann number, Horizontal channel heated from below, DNS

URI

https://hdl.handle.net/11511/41174

DOI

https://doi.org/10.1115/ht2005-72824

Collections

Department of Mechanical Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

Direct numerical simulation of liquid flow in a horizontal microchannel Kükrer, Cenk Evren; Tarı, İlker; Department of Mechanical Engineering (2005) Numerical simulations of liquid flow in a micro-channel between two horizontal plates are performed. The channel is infinite in streamwise and spanwise directions and its height is taken as m, which falls within the dimension ranges of microchannels. The Navier-Stokes equations with the addition of Brinkman number (Br) to the energy equation are used as the governing equations and spectral methods based approach is applied to obtain the required accuracy to handle liquid flow in the microchannel. It is know...
Numerical simulation of thermal convection under the influence of a magnetic field by using solenoidal bases Yarımpabuç, Durmuş; Tarman, Işık Hakan; Department of Engineering Sciences (2011) The effect of an imposed magnetic field on the thermal convection between rigid plates heated from below under the influence of gravity is numerically simulated in a computational domain with periodic horizontal extent. The numerical technique is based on solenoidal basis functions satisfying the boundary conditions for both velocity and induced magnetic field. The expansion bases for the thermal field are also constructed to satisfy the boundary conditions. The governing partial differential equations are ...
Numerical Simulation of Reciprocating Flow Forced Convection in Two-Dimensional Channels Sert, Cüneyt (ASME International, 2003-5-20) <jats:p>Numerical simulations of laminar, forced convection heat transfer for reciprocating, two-dimensional channel flows are performed as a function of the penetration length, Womersley (α) and Prandtl (Pr) numbers. The numerical algorithm is based on a spectral element formulation, which enables high-order spatial resolution with exponential decay of discretization errors, and second-order time-accuracy. Uniform heat flux and constant temperature boundary conditions are imposed on certain regions of the ...
Numerical Solution and Stability Analysis of Transient MHD Duct Flow Tezer, Münevver (2018-11-01) This paper simulates the 2D transient magnetohydrodynamic (MHD) flow in a rectangular duct in terms of the velocity of the fluid and the induced magnetic field by using the radial basis function (RBF) approximation. The inhomogeneities in the Poisson’s type MHD equations are approximated using the polynomial functions (1+r) and the particular solution is found satisfying both the equations and the boundary conditions (no-slip and insulated walls). The Euler scheme is used for advancing the solution to ste...
Numerical Simulation of Rarefied Laminar Flow past a Circular Cylinder Çelenligil, Mehmet Cevdet (2014-07-18) Numerical simulations have been obtained for two-dimensional laminar flows past a circular cylinder in the transitional regime. Computations are performed using the direct simulation Monte Carlo method for Knudsen numbers of 0.02 and 0.2 and Mach numbers of 0.102 and 0.4. For these conditions, Reynolds number ranges from 0.626 to 24.63 and the flows are steady. Results show that separation occurs in the wake region for the flow with Mach number of 0.4 and Knudsen number of 0.02, but for the other eases flow...

Citation Formats

İ. Tarı, “Direct Numerical Simulation of Liquid Flow in a Horizontal Microchannel,” 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41174.