P L Bhatnagar
Articles written in Proceedings – Section A
Volume 7 Issue 2 February 1938 pp 85-90
Volume 45 Issue 3 March 1957 pp 161-171
Volume 45 Issue 5 May 1957 pp 281-292
In the first section of the present paper we obtain the condition of superposability working through vectors and in particular give explicity the condition of superposability of axi-symmetrical flows. This enables us to make some general remarks on the possibility of superposition of two axi-symmetrical flows. The rest of the paper is devoted to the consideration of the possibility of superposition of general rotational flow on the flows due to a vortex, spiral-vortex and vortex-doublet and of irrotational flow on a radial flow in two-dimensions.
In case of the flow due to a vortex, we find that a family of rotational flows of which the isocurls are concentric circles is superposable on it. In the case of the remaining three flows we find that the contemplated types of flows do not exist.
Volume 51 Issue 1 January 1960 pp 1-13
In this paper we have discussed the boundary layer on a plate with suction. The problem is solved near the leading edge as well as far downstream. A linear suction law is assumed near the leading edge for simplicity, whereas no restriction is placed on the suction law in the region downstream. An explict expression for boundary layer thickness in terms of suction speed and distance from leading edge is derived. It is found that the thickness of the boundary layer depends on the derivative of the suction speed. The skin friction also has been evaluated. Though near the leading edge a linear law of suction is assumed, the method used in the paper can be easily generalised for any other power law, for example, we may use a power series expansion for the function defining the suction velocity.
Volume 53 Issue 2 February 1961 pp 95-97
Volume 57 Issue 3 March 1963 pp 148-180
Volume 59 Issue 5 May 1964 pp 269-284
Bhatnagar and Rathna (
Volume 62 Issue 6 December 1965 pp 347-357
Volume 66 Issue 6 December 1967 pp 342-352
This paper compares, in a general way, the predictions of the constitutive equations given by Rivlin and Ericksen, Oldroyd, and Walters. Whether we consider the rotational problems in cylindrical co-ordinates or in spherical polar co-ordinates, the effect of the non-Newtonicity on the secondary flows is collected in a single parameter
Volume 79 Issue 4 April 1974 pp 173-194