An analysis is presented for laminar radial flow due to an oscillating source between parallel plates. The source strength varies according to Q=Q 0 cos ωt, and the solution is in the form of an infinite series in terms of a reduced Reynolds number, R a * =Q 0/4πνa/(r/a)2. (Q 0 = amplitude of source strength, ω = frequency, a = half distance between plates, r = radial coordinate, t = time, and ν = kinematic viscosity.) The results are valid for small values of R a * and all values of the frequency Reynolds number, α=ωa 2/ν. The effects of the parameters R a * and α are discussed.