Grove School of EngineeringDepartment
Steinman Hall T-1M15
B.S.(Ch.E.), 1976, M.S.(Ch.E.), 1978, D.Eng.Sc., 1980, Columbia University
Interfacial and biomembrance phenomena: fluid mechanics and hydrodynamic stability; visoelasticity.
Specific problems currently under study include multiphase flows in narrow capillaries, mass transfer from moving fluid droplets, thin film instabilities, and biomembrance deformation phenomena.
In the area of multiphase flows in capillaries, our group is studying two periodic flow regimes experimentally and theoretically. The first is the two-phase motion of wetting liquid lenes separated by gas segments; the second is the three-phase motion of an alternating train of gas and liquid segments moving over an annular film of a wetting liquid. Our experimental objectives are to measure the pressure drop required to move the segmented stream and the thickness of the annular wetting film present on the inside surface of the capillary. Theoretically we are developing numerical and analytical asmptotic solutions for the pressure drops, film thicknesses and interfacial shapes realized.
Investigations of mass transfer from fluid droplets moving in a continuous liquid phase focus on the influence of adsorbed surfactant monolayers on the rate of interphase transfer. When surfactants adsorb onto the surface of a moving droplet, the surfactant molecules are convected to the trailing pole of the droplet where they form a compressed monolayer. The question of interest to us is how this monolayer affects mass transfer of solute molecules from the drop to the exterior phase. Evidence exists that the compressed monolayer offers an obstruction to interphase transfer. Thus solute molecules which diffuse from the droplet into the continuous phase must diffuse around the layer. This circumvention significantly reduces the rate of transfer. Currently we are attempting to solve the mixed boundary value problem to predict the extent of reduction as a function of the interfacial properties of the adsorbing surfactants. Thin film instability problems which we are studying include Marangoni driven instabilities in a viscoelastic film and capillary and viscosity stratification induced instabilities in annular wetting films. With respect to the Marangoni instabilities, our research focuses on how the film's viscoelastic properties influence its oscillatory instability states.
Chemo-mechanical mechanisms can explain how chemical reactions can cause biomembrane deformations. One mechanism which we have suggested postulates that chemical transformations of molecules present on the surfaces of biomembranes cause local changes in the surface area of one face of the membrane. Examples include transconformational reactions of proteins and antigen-antibody complexing. Such differential area changes induce bending moments which can deform the membrane. We have developed bending equations which account for this mechanism and are now using nonlinear stability theory to develop expressions for the membrane deformation patterns as a function of adopted chemical kinetic schemes.
Current Research Associates
Harris Wong B.E. (M.E.), 1985, McGill University Ph. D. (M.E.), 1992, University of California, Berkeley
- Chen, J., Z. Dagan, and C. Maldarelli, "The Axisymmertric Thermocapillary Motion of a Fluid Particle in a Tube,"J. Fluid Mech.,233, 405 (1991)
- Georgious, E., D.T. Pagageorgiou, C. Maldarelli, and D. Rumschitzki,"The Double Layer-Capillary Stability of an Annular Electrolyte Film Surrounding a Dielectric-fluid Core in a Tube,"J. Fluid Mech.,226,41 (1991)
- He, Z., Z., Dagan, and C. Maldarelli,"The Influence of Surfactant Aborption on the Motion of a Spherical Droplet in a Tube. Part I. Uniform Retardation Controlled by Sorption Kinetics,"J. Fluid Mech.,222, 1 (1991)
- Lin, S., K. Mckeigue, and C. Maldarelli,"A Diffusion-Limited Interpretration of the Induction Peroid in the Relaxation in Surface Tension Due to Adsorption of Straight Chain, Small Polar Group Surfactants: Theory and Experiment," Langmuir, 7, 412 (1991)
- Stebe, K. and C. Maldarelli,"Remobilizing Surfactant Retarded Fluid Particle Interfaces. I. Stress-free Conditions at the Interfaces of Micellar Solutions of Surfactants with Fast Sorption Kinetic,"Phys. Fluids A, 3, 1 (1991)
- Georgious, E., D.T. Pagageorgiou, C. Maldarelli, and D. Rumschitzki," An Asymptotic Theory for the Linear Stability of a Core-Annular Flow in the Thin Annular Limit," J. Fluid Mech., 243, 653 (1992)
- Marldarelli, C. and K. Stebe,"An Anisotropic Elastomechanical Instability Theory For Electropermeabilization of Bilayer Lipid Membranes." In Electrical Trauma, R.C. Lee, E.G. Cravalho, and J.F. Burke, Eds., Cambridge University Press, 327,1992
- Quintana, G.C., H.Y. Cheh, and C. Maldarelli,"The Effect of Viscoelasticity on the Translation of a Surfactant Covered Newtonian Drop,"J. Non-Newtonian Fluid Mech.,45, 81 (1992)