Please use this identifier to cite or link to this item: http://prr.hec.gov.pk/jspui/handle/123456789/934
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dc.contributor.authorKhan, Hamid-
dc.date.accessioned2017-11-30T05:56:52Z-
dc.date.available2017-11-30T05:56:52Z-
dc.date.issued2013-
dc.identifier.uri http://prr.hec.gov.pk/jspui/handle/123456789//934-
dc.description.abstractThis thesis covers the investigation of axisymmetric squeezing flows under slip and no slip boundary conditions. In the process, the flow of a fluid in a porous medium between two parallel plates approaching each other symmetrically has also been studied. The stream functions u r ( r , z , t )  1   1   and u z ( r , z , t )   r  z r  r and the transformation function  ( r , z )  r 2 F ( z ) were used to transfer the Navier-Stockes equations into an ordinary nonlinear differential equation along with the boundary conditions. To solve these nonlinear problems, different analytical methods that are; the Adomian decomposition method (ADM), the new iterative method (NIM), the homotopy perturbation method (HPM), the optimal homotopy asymptotic method (OHAM) and the differential transform method (DTM) are applied and velocity profiles for various parameters of Newtonian fluids are obtained. The velocity of plates and its effects on fluid velocity are established. The above mentioned methods are based on Taylor’s series but their line of action is different and one may face serious problems of convergence in their application. In this case, the convergence of the approximating series solution is discussed and the mathematica built-in code NDSolve is used to validate the results of analytical solutions. The results show that OHAM gives a better approximation under the conditions on which the research is premised.en_US
dc.description.sponsorshipHigher Education Commission, Pakistanen_US
dc.language.isoenen_US
dc.publisherISLAMIA COLLEGE PESHAWAR (CHARTERED UNIVERSITY), KHYBER PAKHTUNKHWA, PAKISTANen_US
dc.subjectNatural Sciencesen_US
dc.subjectMathematicsen_US
dc.subjectGeneral principles of mathematicsen_US
dc.subjectAlgebraen_US
dc.subjectArithmeticen_US
dc.subjectTopologyen_US
dc.subjectAnalysisen_US
dc.subjectGeometryen_US
dc.subjectNumerical analysisen_US
dc.subjectProbabilities & applied mathematicsen_US
dc.titleAnalytical Analysis of Squeezing Flowsen_US
dc.typeThesisen_US
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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