Аннотация:The paper is devoted to the study of a rarefied gas flow through a circular pipe caused by small pressuredifferences between the reservoirs attached to the ends of the pipe. The analysis is based on of the directnumerical solution of the Boltzmann kinetic equation with the linearized model collision integral ofShakhov. The solution of the problem is computed for a wide range of the rarefaction parameter valuesand is compared with the kinetic and continuum solutions for an infinitely long circular pipe as well aswith the flow into vacuum.