15 citations · 42 across the 6 of their papers we have counts for
7 papers
Three dimensional branching pipe flows for optimal scalar transport between walls
Anuj Kumar
We consider the problem of "wall-to-wall optimal transport" in which we attempt to maximize the transport of a passive temperature field between hot and cold plates. Specifically,…
Optimal bounds in Taylor--Couette flow
Anuj Kumar
This paper is concerned with the optimal upper bound on mean quantities (torque, dissipation and the Nusselt number) obtained in the framework of the background method for the Tayl…
Analytical bounds on the heat transport in internally heated convection
Anuj Kumar, Ali Arslan, Giovanni Fantuzzi +2
We obtain an analytical bound on the mean vertical convective heat flux between two parallel boundaries driven by uniform internal heating. We consider two co…
On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces
Michael S. Jolly, Anuj Kumar, Vincent R. Martinez
This paper studies a family of generalized surface quasi-geostrophic (SQG) equations for an active scalar on the whole plane whose velocities have been mildly regularized, for…
On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces
Michael S. Jolly, Anuj Kumar, Vincent R. Martinez
This paper studies the dissipative generalized surface quasi-geostrophic equations in a supercritical regime where the order of the dissipation is small relative to order of the ve…
Pressure-driven flows in helical pipes: bounds on flow rate and friction factor
Anuj Kumar
In this paper, we use the well-known background method to obtain a rigorous lower bound on the volume flow rate through a helical pipe driven by a pressure differential in the limi…
An asymptotic theory for the high-Reynolds-number flow past a shear-free circular cylinder
Anuj Kumar, Nidhil Mohamed A. R, Pritam Giri +1
We present an asymptotic theory for analytical characterization of the high-Reynolds-number incompressible flow of a Newtonian fluid past a shear-free circular cylinder. The viscos…