14 citations · 34 across the 11 of their papers we have counts for
11 papers
Asymptotic Behavior of a Buoyant Jet Regime inside a Carbon-dioxide Ejector
Sreetam Bhaduri, Ivan C. Christov, Eckhard A. Groll +1
Ejectors are used in various engineering systems, including steam and vapor compression cycles. Optimizing the performance of ejectors requires understanding and analysis of multip…
Non-self-adjoint sixth-order eigenvalue problems arising from clamped elastic thin films on closed domains
N C Papanicolaou, I C Christov
Sixth-order boundary value problems (BVPs) arise in thin-film flows with a surface that has elastic bending resistance. We consider the case in which the elastic interface is clamp…
A fluid--peridynamic structure model of deformation and damage of microchannels
Ziyu Wang, Ivan C. Christov
Soft-walled microchannels arise in many applications, ranging from organ-on-a-chip platforms to soft-robotic actuators. However, despite extensive research on their static and dyna…
Experimental investigation of the flow rate--pressure drop relation of a viscoelastic Boger fluid in a deformable channel
SungGyu Chun, Ivan C. Christov, Jie Feng
We study the steady flow-induced deformation between an incompressible non-Newtonian fluid and a three-dimensional (3D) deformable channel. Specifically, we provide a comprehensive…
Theory and simulation of elastoinertial rectification of oscillatory flows in two-dimensional deformable rectangular channels
Uday M. Rade, Shrihari D. Pande, Ivan C. Christov
Oscillatory flows in compliant confinements underpin processes ranging from physiological transport in blood vessels and airways to flow control and pumping in soft microfluidic de…
Oscillatory flows in three-dimensional deformable microchannels
Anxu Huang, Shrihari D. Pande, Jie Feng +1
Deformable microchannels emulate a key characteristic of soft biological systems and flexible engineering devices: the flow-induced deformation of the conduit due to slow viscous f…
Series solutions for clamped peridynamic beams using fourth-order eigenfunctions
Ziyu Wang, Ivan C. Christov
We propose an analytical approach to solving nonlocal generalizations of the Euler--Bernoulli beam. Specifically, we consider a version of the governing equation recently derived u…
Pressure drop reduction due to coupling between shear-thinning fluid flow and a weakly deformable channel wall: A reciprocal theorem approach
Shrihari D. Pande, Ivan C. Christov
We employ the Lorentz reciprocal theorem to derive a closed-form expression for the pressure drop reduction due to the coupling between shear-thinning fluid flow and a weakly defor…
Sixth-order parabolic equation on an interval: Eigenfunction expansion, Green's function, and intermediate asymptotics for a finite thin film with elastic resistance
Nectarios C. Papanicolaou, Ivan C. Christov
A linear sixth-order partial differential equation (PDE) of ``parabolic'' type describes the dynamics of thin liquid films beneath surfaces with elastic bending resistance when def…
Flow rate-pressure drop relations for shear-thinning fluids in deformable configurations: theory and experiments
SungGyu Chun, Evgeniy Boyko, Ivan C. Christov +1
We provide an experimental framework to measure the flow rate--pressure drop relation for Newtonian and shear-thinning fluids in two common deformable configurations: (\textit{i})…
Orthonormal eigenfunction expansions for sixth-order boundary value problems
N C Papanicolaou, I C Christov
Sixth-order boundary value problems (BVPs) arise in thin-film flows with a surface that has elastic bending resistance. To solve such problems, we first derive a complete set of od…