1,720,968 research outputs found
Steady laminar flow with suction or injection and heat transfer through porous pipe
No full textFollowing the method due to Bhatnagar (P. L.) [Jour. Ind. Inst. Sic., 1968, 1, 50, 1], we have discussed in this paper the problem of suction and injection and that of heat transfer for a viscous, incompressible fluid through a porous pipe of uniform circular cross-section, the wall of the pipe being maintained at constant temperature. The method utilises some important properties of differential equations and some transformations that enable the solution of the two-point boundary value and eigenvalue problems without using trial and error method. In fact, each integration provides us with a solution for a suction parameter and a Reynolds number without imposing the conditions of smallness on them. Investigations on non-Newtonian fluids and on other bounding geometries will be published elsewhere
A national level programme of quality mathematics education for bright students in schools
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On trade-off solution pairs in a special type of transportation problem
No full textAbstract is not available
On Sharma-Swarup algorithm for time minimising transportation problems
No full textIn this note, the fallacy in the method given by Sharma and Swarup, in their paper on time minimising transportation problem, to determine the setS hkof all nonbasic cells which when introduced into the basis, either would eliminate a given basic cell (h, k) from the basis or reduce the amountx hkis pointed out
Numerical procedure for second order non-linear ordinary differential equations and application to heat transfer problem
No full textIn this paper, we have first given a numerical procedure for the solution of second order non-linear ordinary differential equations of the type y″ = f (x;y, y′) with given initial conditions. The method is based on geometrical interpretation of the equation, which suggests a simple geometrical construction of the integral curve. We then translate this geometrical method to the numerical procedure adaptable to desk calculators and digital computers. We have studied the efficacy of this method with the help of an illustrative example with known exact solution. We have also compared it with Runge-Kutta method. We have then applied this method to a physical problem, namely, the study of the temperature distribution in a semi-infinite solid homogeneous medium for temperature-dependent conductivity coefficient
There are infinitely many primes.
Get PDFSay you have a set S of numbers. You want to know whether theremare finitely many elements in S, or infinitely many. How may we do this? Here is a possible strategy: Add up all the numbers in. If the sum if infinite, then surely S must have infinitely many elements
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