NUST Institutions Library Catalogue Search for 'au:"Muhammad Safdar"'

Solvability of Systems of Differential Equations by Complex Symmetry Analysis /

By Muhammad Safdar. Islamabad : CAMP - NUST, 2013 . vii 127 p. ; 30cm..

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Solvability of Systems of Differential Equations by Complex Symmetry Analysis /

By Safdar, Muhammad. Islambad: CAMP - NUST, 2013 . vii, 127 p. : , Hard Cover

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Structural fire performance of fiber reinforced polymer (FRP) strengthened high strength concrete beams using opensees software /

By Muhammad Safdar. Islamabad: SCEE - NUST, 2017 . 58 p. : 30cm..

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Removal of silt from the reservoirs by siphonic action Project

By Muhammad Safdar Syn#9 CED#57. Risalpur, MCE, 2004 . 28p.

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Plain and reinforced concrete II

By Muhammad Safdar, Maj. Risalpur, MCE, 2015

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PR-SOF-1828-Miniaturization of Polymerase Chain Reaction

By Muhammad Safdar Asaf Jah Muhammad Umer Farooq Muhammad Sannan Anwar . ISLAMABAD NUST COLLEGE OF EME 2019

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Analytical Study of heat and mass transfer in the unsteady squeezing flow between parallel plates /

By Ahmed, Hassan . . 84p. ; 30cm..

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Comparative Analysis of Analytical and Numerical Approximations for the Mass and Heat Transfer in Mixed Convection Stagnation Point Flow of Casson Fluid Over the Stretching Sheet Considering Unsteadiness Parameter /

By Tanzeel Ur Rehman Siddiqi, Muhammad . . 63p. ; 30cm..

Place Hold on Comparative Analysis of Analytical and Numerical Approximations for the Mass and Heat Transfer in Mixed Convection Stagnation Point Flow of Casson Fluid Over the Stretching Sheet Considering Unsteadiness Parameter /

Effects of Viscous Dissipation and General Surface Temperature on Flow and Heat Transfer in a Thin Liquid Film on an Unsteady Stretching Sheet using Homotopy Analysis Method /

By Zeeshan, Muhammad. . 76p. ; 30cm..

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Mathematical Modelling and Analysis of Nonlinear Aeroservoelastic framework for Light Aircraft /

By NASEER, MARIYAM. . 116p. ; 30cm..

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Analytic and approximate Lie solutions of MHD Casson Fluid flow, heat and mass transfer near a stagnation point over a linearly stretching sheet with constant and variable viscosity and thermal conductivity /

By Khurram Rashid Khan, Muhammad.

Place Hold on Analytic and approximate Lie solutions of MHD Casson Fluid flow, heat and mass transfer near a stagnation point over a linearly stretching sheet with constant and variable viscosity and thermal conductivity /

Symmetry Analysis and Analytic Solutions for Unsteady Flows on a Stretching Surface in the Presence of Magnetic Field, Internal Heat Source and Thermocapillary Effects /

By Khan, Ghani. . 89p. ; 30cm..

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Analytical Solutions of Unsteady Thin Film Flow with Internal Heating and Thermal Radiation /

. 81p. ; 30cm..

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Lie Optimal Solutions of Heat Transfer in a Liquid Film over an Unsteady Stretching Surface with Viscous Dissipation and External Magnetic Field /

By Ahmad, Haris . . 82p. , In this thesis, we explore the fluid flow and heat transfer in thin liquid films over an unsteady stretching surface with viscous dissipation under the influence of an external magnetic field. To investigate the behavior of this system, we use similarity transformations with the analytical and numerical solution techniques. Specifically, we derive the Lie point symmetries of the system of partial differential equations that describes the flow and heat transfer in a thin liquid layer. A 5-dimensional Lie point symmetry algebra is derived. We develop new similarity transformations for the given model using a pair of the admitted Lie point symmetry generators. Arbitrary coefficients are used in the Lie optimal system and these arbitrary coefficients may be employe to the control the flow and heat transfer. By constructing the optimum system of Lie sub-algebras, related invariants, and similarity transformations, we reduce the number of independent variables in this flow model and convert the partial differential equations into ordinary differential equations for simplifying the solution procedure. This conversion requires double reduction, and the resulting transformations allow us to reduce the model to nonlinear ordinary differential equations. To examine the proposed magnetohydrodynamic (MHD) flow and heat transfer, we build analytic solutions for the obtained system of ordinary differential equations using the Homotopy analysis approach. The results are presented in the form of tables and figures, which demonstrate how the magnetic parameter, Prandtl number, Eckert number, and unsteadiness parameter affect fluid velocity, film thickness, and heat transfer. We compare these changes in velocity and temperature profiles with those previously reported for flow and heat transfer inside a thin film under the influence of viscous dissipation and an external magnetic field. Overall, our findings provide valuable insights into the behavior of fluid flow and heat transfer in thin films over unsteady stretching surfaces with viscous dissipation and external magnetic fields. These insights have important practical applications in fields such as chemical engineering, material sciences, and energy transf 30cm.

Place Hold on Lie Optimal Solutions of Heat Transfer in a Liquid Film over an Unsteady Stretching Surface with Viscous Dissipation and External Magnetic Field /

Optimization and Burn-back Analysis of Grain of Solid Rocket Motor /

By Yasin, Ali . . 159p. , The aim of this project is to develop a numerical code in MATLAB to evaluate the performance of propellant grain of solid rocket motor by accurate regression of grain surface in burnback analysis. A numerical technique namely Level Set Method (LSM) is used to evolve the grain surface in both 2D and 3D configurations. In order to reduce computational requirement while evolving 3D grain surface, an innovative method of quasi-3D has been implemented. In Quasi-3D, 3D grain section is divided into several 2D cross-sections and then each 2D cross section is evolved using less-demanding (in term of computational power) 2D Level-Set Method. And in the end interpolation technique is applied to reconstruct the 3D grain regression from 2D results. For Internal ballistic calculations, well-established models of 0D-unsteady and 1D-quasi-steady methods has been implemented. Combining 2D and quasi-3D burnback simulation with 0D-unsteady and 1D-quasi-steasdy ballistic models, three following cases have been modeled in this research: 1. 2D-grain burnback and 0D-unsteady flow 2. Quasi-3D grain burnback and 0D-unsteady flow 3. Quasi-3D grain burnback and 1D-quasi-steady flow For validation purpose, results of first and second cases, 2D and Quasi-3D grain burnback and 0D unsteady, are compared against reference cases. While the results of 3rd case, 1D quasi-steady flow model, are analyzed only qualitatively. 30cm.

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Vehicle Speed Estimation with 3D Bounding Boxes /

By SAFDAR ,MUHAMMAD . . 41p. ; 30cm..

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Analytical and Numerical Solution for Flow and Heat Transfer Over Unsteady Stretching Sheet with Internal Heating /

By Bilal, Muhammad . . 50p. 30cm.

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Solvability of Systems of Diﬀerential Equations by Complex Symmetry Analysis/

By Safdar, Muhammad. . 127,p; 30,cm..

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Lie similarity transformations and Lie control parameters for heat transfer on unsteady stretching surface along with variable heat source or sink /

By Saad Anwar, Muhammad . . 72p. ; 30cm..

Place Hold on Lie similarity transformations and Lie control parameters for heat transfer on unsteady stretching surface along with variable heat source or sink /

Optimal Expansion of Interface Dynamics for Substructure Coupling /

By Ali, Muhammad Junaid . . 251p. , This thesis introduces a novel methodology for optimal interface expansion in dynamic substructuring, focusing on inaccessible and continuous interfaces. Unlike traditional approaches relying on modal parameters from Frequency Response Functions (FRFs), it employs a direct frequency-based method targeting interface Degrees of Freedom (DoFs), bypassing errors linked to modal identification. The System Equivalent Model Mixing (SEMM) technique is utilized to expand dynamics at the interface by integrating numerical and experimental models into a mixed model. Coherence is employed as a robust correlation metric, evaluating both phase and magnitude of FRFs. This research addresses optimal sensor placement (OSP) for effective expansion, testing nineteen stochastic metaheuristics categorized into swarm intelligence, surrogate algorithms, and physicsinspired methods to alleviate computational challenges of exhaustive searches. The Mountain Gazelle Optimizer (MGO) algorithm proved highly efficient for larger systems, while exhaustive search was effective for smaller cases. Validation involved cantilevered beam models and experimental setups, demonstrating strong correlation at interface DoFs. MGO proved to be 49 times faster than exhaustive search in identifying optimal sensor locations. The proposed methodology showcases practical applicability in achieving accurate dynamic expansions. 30.

Place Hold on Optimal Expansion of Interface Dynamics for Substructure Coupling /

Noor English Grammar and Composition /

By Bhatti, Muhammad Safdar,. Bahawalpur: Sibling Academy; 2025 . 211p.

Place Hold on Noor English Grammar and Composition /

Lie Similarity Solutions and Control Parameters for Casson Fluid Flow and Heat Transfer with Slip Velocity and Variable Heat Flux /

By Sultan, Badar . . 107p. , This study examines the heat and mass transfer in a steady Casson fluid over a stretching sheet. It considers the behavior of Casson fluid with and without slip velocity and variable heat flux boundary conditions under the influence of various control parameters. The mathematical model describing continuity, x-momentum, concentration, and energy transfer in the fluid is formulated along with necessary boundary conditions. To simplify the PDEs of this model, a new set of generalized transformations is derived using the Lie similarity method. A general vector field Lie symmetry generator is extended twice and applied to the fluid model and subjected boundary conditions, resulting in the invariance criteria in the form of linear PDEs. This invariance criterion, when applied to PDEs of the fluid model, yields the invariants, which, when applied to the model, reduce the number of independent variables, turning the complex set of PDEs into simpler ODEs while retaining the key physical features of the flow. These transformations, while satisfying the continuity equation, further reduce one dependent variable, decreasing the complexity of the system even further. This system of ODEs is then solved using the homotopy perturbation method. It is a semi-analytical technique that combines homotopy and perturbation methods to handle nonlinear problems. A higher-order perturbation series, written in the terms of the homotopy parameter and dependent variables is inserted in the system, which, during integration, helps refine the solution. This resulting system is then integrated with modified set of initial conditions having arbitrary constants. The equations resulting from integration, when subjected to final conditions, evaluate these arbitrary constant, which convert the boundary value problem into an initial values problem, which is then solved to get the solution of model. Different boundary condition sets are imposed on the considered flow model: one with slip velocity and variable heat flux, and the other without these conditions. The response of the velocity and temperature towards these conditions is observed and it is reported that for boundary conditions without slip velocity and variable heat flux, velocity increases with permeability and decreases with Casson fluid and magnetic field parameters; xix temperature increases with permeability, Prandtl number, radiation parameter and ratio of Lie control parameters and decreases with Casson fluid and magnetic field parameters; and concentration increases with permeability, Casson fluid parameter, ratio of Lie control parameters, and decreases with magnetic field parameter and Schmidt number. For slip velocity and variable heat flux boundary conditions, velocity increases with permeability and decreases with Casson fluid, slip velocity and magnetic field parameters; temperature decreases with permeability, Prandtl number, radiation parameter and ratio of Lie control parameters and increases with Casson fluid, slip velocity, heat flux and magnetic field parameters; and concentration increases with permeability, Schmidt number, ratio of Lie control parameters, and decreases with magnetic field, slip velocity and Casson fluid parameters. The use of Lie symmetry transformations and homotopy perturbation method proves to be a practical approach for solving complex fluid problems modeled using nonlinear PDEs, offering valuable insights for optimizing industrial processes like polymer extrusion, metal coating, and thermal management. 30cm.

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Lie Symmetry Analysis of MHD Thermosolutal Marangoni Convection with Heat Generation and First Order Chemical Reaction /

By Zubair, Saad . . 86p. , The purpose of this research is to study the combined effects of Magnetohydrodynamic (MHD), Marangoni convection, heat generation, thermosolutal transport and chemical reaction of first order for a fluid system. These flows play a potent role in many applications of realworld such as cooling systems, heat exchangers, chemical and material processing, buildings and HVAC’s, power generation, food processing, aerospace and automotive, geothermal systems, thermal energy storage and many more. The equations modeling these flows are nonlinear partial differential equation which in general are very complex and challenging to solve. The considered flow equations are transformed into less complex ordinary differential equations by using an approach called Lie symmetry transformations. This mathematical technique helps in the reduction of variables of the system, thereby decreasing complexity of the system which often results in a set of solvable equations. This reduction of variables yields nonlinear equations of ordinary type that (in general) do not possess exact solutions, however computational cost involved in generating approximate solutions for the reduced equations decreases enormously. Through these solutions a better understanding of the system and the physical parameters that affect the system is established. This thesis employs Homotopy Perturbation Method that is an analytical approach for obtaining analytical approximate solutions for the flow and heat transfer considered by imposing the said physical constraints. MAPLE is used to develop the code for Homotopy Perturbation Method and for generating Lie similarity transformations. Using MAPLE, the reduction is performed, and graphs are obtained showing the influence of various variable parameters like Prandtl number, Hartmann number, Schmid number, rate of chemical reaction and the coefficient of heat generation corresponding to the temperature, velocity and concentration profiles. Lie control parameters are involved in these similarity solutions that are obtained in this thesis. These parameters are shown to influence the flow dynamics like the physical parameters. This control characterization of the fluid flow and heat transfer considered here has not been presented earlier. 30cm.

Place Hold on Lie Symmetry Analysis of MHD Thermosolutal Marangoni Convection with Heat Generation and First Order Chemical Reaction /

Flow and Heat Transfer on Unsteady Stretching Sheet with Variable Heat Flux, Viscous Dissipation and Slip Velocity /

By Shahid, Fahad . . 74p. , Thin film flows are important in many engineering processes like coating, cooling, and extrusion. These flows are usually described by complex equations namely nonlinear partial differential equations, which come from the laws of mass, momentum, and energy conservation. In this thesis, an unsteady thin film flow over a stretching surface is studied by imposing the slip velocity condition along with variable heat flux. To make these equations solvable, Lie symmetry analysis is used. This method helps to find transformations that reduce the flow equations into ordinary differential equations. These simpler equations are then solved using the Homotopy Perturbation Method, which gives analytical solutions in the form of a converging series. The study looks at how different physical parameters and numbers such as the unsteadiness parameter (𝑆), Prandtl number (𝑃𝑟), Casson fluid parameter (𝛽), slip velocity parameters (𝜆) and the Eckert number (𝐸𝑐) affect the velocity of the fluid, temperature distribution, and heat transfer rate. The results are shown in graphs for better understanding. This research provides useful insights into how thin films behave under different conditions thereby improving the design and performance of systems that use these kinds of flows. 30cm.

Place Hold on Flow and Heat Transfer on Unsteady Stretching Sheet with Variable Heat Flux, Viscous Dissipation and Slip Velocity /