3 edition of Thermocapillary bubble migration for large Marangoni numbers found in the catalog.
Thermocapillary bubble migration for large Marangoni numbers
by National Aeronautics and Space Administration, For sale by the National Technical Information Service in [Cleveland, Ohio], [Springfield, Va
Written in English
|Statement||R. Balasubramaniam ; prepared for the Lewis Research Center under grant NAG3-567.|
|Series||NASA contractor report -- 179628., NASA contractor report -- NASA CR-179628.|
|Contributions||Lewis Research Center.|
|The Physical Object|
erate Marangoni numbers, but unsteady at large Marangoni numbers. The instantaneous migration velocity at a ﬁxed migration distance decreases with increasing Marangoni numbers. The simulation results of the thermocapillary droplet migration at large Marangoni num-bers are found in qualitative agreement with those of experimental :// The thermocapillary motion of a bubble for large values of the Reynolds number in the absence of buoyancy has been analyzed both in the limit of zero Marangoni numbers (Crespo and Manuel ; Balasubramaniam and Chai ) and large Marangoni numbers (Crespo and Jimenez-Fernandez ; Balasubramaniam and Subramanian ).
The migration of a drop in a uniform temperature gradient at large Marangoni numbers R. Balasubramaniama) National Center for Microgravity Research on Fluids and Combustion, NASA Glenn Research Center, Mail Stop , Cleveland, Ohio R. Shankar Subramanian Department of Chemical Engineering, Clarkson University, Potsdam, New York The unsteady process for thermocapillary droplet migration at large Reynolds and Marangoni numbers has been previously reported by identifying a nonconservative integral thermal ﬂux across the sur-face in the steadythermocapillary droplet migration, [Wu and Hu, J. Math. Phys. , ()]. Here we add a thermal source in the
large thermal diffusivity.6 In an axisymmetric numerical study of a deforming bubble with larger inertia,7 it was found that not only does the velocity of the bubble reduce due to deformations, but that for large enough inertia the bubble does not settle to a steady migration velocity. The study of thermocapillary motion in systems with several ~lopez/pdf/PoF_BHLpdf. Marangoni numbers. In many engineering applications where thermocapillary forces are dominant, it is likely that many drops are present and heat and mass convections are important, i.e., Reynolds and Marangoni numbers are non-zero. It is therefore critical to understand the overall behav-ior of large drop systems with either mono-dispersed ~mmuradoglu/NasMuradogluTryggvasonIJHMTpdf.
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The thermal wake does not influence the bubble velocity up to O(E). THERMOCAPILLARY BUBBLE MIGRATION REFERENCES Abramowitz, M. & Stegun, I. Handbook of Mathematical Functions. Dover, New York. Balasubramaniam, R. Thermocapillary bubble migration for large Marangoni :// THERMOCAPILLARY BUBBLE MIGRATION FOR LARGE MARANGONI NUMBERS R.
Balasubramaniam Case Western Reserve University Cleveland, Ohio SUMMARY The thermocapillary motion of spherical bubbles present in an unbounded liquid with a linear temperature distribution is analyzed, when the Reynolds number and the Marangoni number are :// Thermocapillary bubble migration—thermal boundary layers for large Marangoni numbers.
the asymptotic values of the scaled migration velocity of the bubble in the limit of large Marangoni numbers are calculated. The results show that the migration velocity has the same scaling for both low and large Reynolds numbers, but with a different Thermocapillary Bubble Migration: Thermal Boundary Layers for Large Marangoni Numbers The migration of an isolated gas bubble in an immiscible liquid possessing a temperature gradient is analyzed in the absence of gravity.
The driving force for the bubble motion is the shear stress at the interface which is a consequence of the temperature The thermocapillary motion of bubbles in a liquid environment induced by temperature gradients in the continuous phase is studied.
The problem is analyzed under conditions where convective heat transfer is important, that is, for large Marangoni numbers and vanishing Reynolds number, by assuming a thermal boundary layer around the bubble. The temperature and velocity fields are Numerical simulation of thermocapillary bubble migration under microgravity for large Reynolds and Marangoni numbers Balasubramaniam, R.; Lavery, John E.
Abstract. A numerical procedure in which the Navier-Stokes equations are discretized using tightly coupled discretizations of pressure derivatives and continuity equations is used here to B/abstract. The thermocapillary migration of a bubble in a liquid possessing a temperature gradient is analyzed in the limit of large Reynolds and Marangoni numbers.
Crespo and Manuel () performed an analysis in this limit wherein energy conduction is completely neglected and obtained the bubble migration velocity using energy dissipation :// ().
NUMERICAL SIMULATION OF THERMOCAPILLARY BUBBLE MIGRATION UNDER MICROGRAVITY FOR LARGE REYNOLDS AND MARANGONI NUMBERS. Numerical Heat Transfer, Part A: Applications: Vol. 16, No. 2, pp. Thermocapillary motion of initially spherical bubbles due to the constant temperature gradient in a liquid bounded medium is simulated numerically for low, intermediate, high Reynolds and Marangoni numbers using a three dimensional model.
The volume of fluid (VOF) method was used to track the liquid/gas interface utilizing a geometric reconstruction scheme based on the piece-wise linear R. Balasubramaniam and J. Lavery, “ Numerical simulation of thermocapillary bubble migration under microgravity for large Reynolds and Marangoni numbers,” Num.
Heat Transfer A 16, ()., Google Scholar Crossref; :// Thermocapillary bubble migration for large Marangoni Numbers. By R. Balasubramaniam. Abstract. The thermocapillary motion of spherical bubbles present in an unbounded liquid with a linear temperature distribution, when the Reynolds number and the Marangoni number are large is analyzed.
Previous calculations of the terminal velocity performed Thermocapillary bub-bles migration-thermal boundary layers for large Marangoni numbers Termokapillyarnyy dreyf kapel'ki vyazkoy zhid-kosti Effect of surface deformation on ther-mocapillary bubble R.
Balasubramaniam and R.S. Subramanian, “Thermocapillary bubble migration—thermal boundary layers for large Marangoni numbers,” Int. Multiphase Flow (in press).
Google Scholar; R. Merritt and R. Subramanian, “ The migration of isolated gas bubbles in a vertical temperature gradient,” J. Colloid Interface Sci. Planar thermocapillary migration of two bubbles in microgravity environment of small Marangoni and Reynolds numbers in the present paper.
In order to solve the problem to the bubble migration is not large, the Stokes equation gives a reasonable approximation of the two-bubble "Numerical Calculation of Thermocapillary Bubble Migration in Liquids under Microgravity for large Reynolds and Marangoni Numbers" Book of abstracts of the Annual Scientific Conference GAMM Bremen, April 6 – 9,pp.
Acta Mech– () DOI /s Zuo-Bing Wu Wen-Rui Hu Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers boundary layer for large Re is discussed in appendix A and the thermal wake for large Reynolds numbers is analyzed in appendix B., t.
VELOCITY FIELDS FOR SMALL AND LARGE REYNOLDS NUMBERS Subramanian () has analyzed the thermocapillary migration of a gas bubble in the limit of zero Reynolds number and small Marangoni :// Get this from a library. Thermocapillary bubble migration for large Marangoni numbers.
[R Balasubramaniam; Lewis Research Center.] Wu, Z.-B. & Hu, W.-R. Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers. Acta Mech. (3), – Yariv, E. & Shusser, M. On the paradox of thermocapillary flow about a stationary :// "Numerical Calculation of Thermocapillary Bubble Migration in Liquids under Microgravity for large Reynolds- and Marangoni Numbers" – Ass.
Professor at University of Essen - Chair of Mechanics; Project Leader; Responsible for acquisition and conduct of sponsored research; Development of new optical measurement techniques for. Get this from a library!
Thermocapillary bubble migration: thermal boundary layers for large Marangoni numbers. [R Balasubramaniam; R Shankar Subramanian; United Balasubramaniam, R. & Chai, A. Thermocapillary migration of droplets – an exact solution for small Marangoni numbers. J.
Colloid Interface Sci.– Thermocapillary Bubble Migration at High Reynolds and Marangoni Numbers: 3D Numerical Study. Yousuf Alhendal1*, Ali Turan2, Abdulrahim Kalendar1, Hosny Abou-Ziyan1, Rafik El-shiaty1.
1 College of Technological Studies (CTS), Public Authority for Applied Education and Training (PAAET). P. O. Box Hawally, zip code:// Web view.