Dr. Precious Sibanda

Senior Lecturer, Applied Mathematics

 

 

Address:

 

School of  Mathematics, Statistics & Information Technology,

University of Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, SA.

Email:

sibandap@nu.ac.za

Phone:

+27 (0)33 260 5626

Fax:

+27 (0)33 260 5648

 

 

 

R

esearch Interests.

I am primarily a “fluids” person with interests in (1) boundary layer flow and (2) hydrodynamic stability. I have worked on flow over compliant surfaces and on problems involving heat and mass transfer. Emerging secondary interests would include mathematical modelling, particularly ecological modelling, we wait and see how this develops.

 

 

T

eaching Experience

I have taught a range of undergraduate, honours and some postgraduate courses at the universities of Natal and Zimbabwe. The undergraduate courses taught include: Calculus, Differential Equations, Fluid Mechanics, Mechanics, Numerical Methods and Vector Calculus. The masters’ courses taught include: Basic Fluid Mechanics and Hydrodynamic Stability.

 

S

elected Publications 

 

 

 

1.      Gajjar, J.S. B & Sibanda, P. The hydrodynamic stability of channel flow with compliant boundaries. Theoretical and Comp. Fluid Dynamics (1996). 8: 105 - 129.

 

2.      Gajjar, J.S. B., Arebi, M. M. & Sibanda, P. Non-linear development of cross-flow instabilities in compressible boundary layer flows. AIAA 96 - 2159.

 

 

3.      Sibanda, P. & Gajjar, J. S. B. On the stability of compressible flow over a flat-plate. A.M.S.E Advances in Modelling & Analysis, Ser. A. (2000). Vol. 37 No.1: 29- 44.

 

4.      Sibanda, P. A mathematical approach to accident and collision reconstruction. Inter. J. of Management Systems (2001). Vol. 17 No. 3: 205 – 216.

 

5.      Motsa, S.S., Gajjar, J.S.B. & Sibanda, P. The effect of heating/cooling on the upper-branch stability of boundary layer flows over a compliant boundary. CAMES (2002) Vol.  9: 163-181.

 

6.      Motsa, S. S., Sibanda, P & Gajjar, J. S. B.  On the upper branch stability of accelerating boundary layer flows over a compliant boundary. A.M.S.E (Modelling, Measurement & Control) (2002). Vol. 71 No. 2: 1-18.

 

7.      Shateyi, S, Sibanda, P & Motsa, S. S. Three-dimensional stability of heated/ cooled accelerating boundary layer flows over a compliant boundary. ANZIAM J. (2002) 44(E) pp E55-E81.

 

8.        Motsa, S. S. & Sibanda, P. On the stability analysis of thermally stratified channel flow with a compliant boundary. Inter. J. of Heat & Mass Transfer (2003) 46(6) pp 938 - 948.

 

S

ubmitted Papers

 

 

 

9.      Sibanda, P, Motsa, S. S & Shateyi, S. Linear stability of two-dimensional flow to three-dimensional perturbations in a channel with a flexible wall. Archives of Mechanics (June 2003).

 

1.        Motsa, S. S. and Sibanda, P. Inviscid instability of boundary layer flow over compliant surfaces in the presence of buoyancy.  ANZIAM Journal (July 2002).

 

2.      Motsa, S. S., Sibanda, P. & Makinde, O. D. Effects of a chemical reaction and heat generation/absorption on transient hydromagnetic free convection flow through a porous medium. Canadian Journal of Physics (22 November 2002)