احصاء - ماجستير
Permanent URI for this collectionhttps://repository.neelain.edu.sd/handle/123456789/624
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Item Applications of the Successive linearization method to Casson fluid flow over an unsteady stretching surface(2017-10) Sufana Salahaldin Mohammed AwadalkaremAbstract The unsteady two-dimensional flow of a non-Newtonian fluid over a stretching surface having a prescribed surface temperature is investigated. The Casson fluid model is used to characterise the non-Newtonian fluid behaviour. Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by the successive linearization method(SLM). The flow features and heat transfer character- istics for different values of unsteadiness parameter, Casson parameter and Prandtl number are analysed and discussed in detail. Abstract Arabic تمت دراسة الأنسياب لمائع غير نيوتن فوق سطح متحدد له حرارة محددة . لقد استخدم نمو مائع كاسون لوصف سلوك المائع الغير نيوتوني . بأستخدام تحويلة متماثلة لقد حولت المعادلات التفاضلية الجزئية التي تصف الإنسياب إلى معادلات تفاضلية عادية و من ثم حلت بأستخدام طريقة الطيف المتعاقبة . و تأثير بعض الوسائط لكل خصائص الأنسياب و سبل انتقال الحرارة قد نُقشت .Item The Spectral Adomian Decompostion Method Solution of MHD Boundary Layer Flow Due to an Exponentially Stretching Sheet with Radiation Effect(2017) Rasha Morsal Hussein Abd AlbueenAbstract In this work we apply a new modification of the Adomian decomposition method for solving the problem of boundary flow of a viscous fluid over an exponentially stretching sheet was studied and effect of radiation on magnetohy drodynamic (MHD). The governing system of partial differential equations was transformed into ordinary differential equations before being solved numerically by spectral Adomian decomposition method. The effects of the governing parameters on the flow field and heat transfer characteristics were obtained and discussed. It was found that the local heat transfer rate at the surface decreases with increasing values of the magnetic and radiation parameters.Item Spectral Adomian decomposition solution for MHD boundary layer flow and heat transfer of nanofluids over a moving surface in the presence of thermal radiation(2017) Samah Abdallah Ahmed MohammedAbstract The numerical solutios of magneto hydrodynamic boundary layer problem of a nano uid ow over a moving surface in the presence of thermal radiation has been concidered. The governing partial di erential equations were transformed into a system of ordinary di erential equations using suitable similarity transformations. The resultant ordinary equations were then solved using the spectral Adomian decomposition method. Effects of the physical parameters on the velocity, temperature and concentration nanoparticle volume fraction profiles as well as the local skin-friction coeffcient and the heat and mass transfer rates are depicted graphically and/or in tabular form.Item E ects of buoyancy and thermal radiation on MHD ow over a stretching porous sheet using Spectral Adomian Decomposion Method A(2017) Tawhida Mohammed Alsir Yousif MohammedAbstract The steady hydromagnetic boundary-layer ow over an accelerating permeable surface in the pres- ence of thermal radiation, thermal buoyancy, and heat generation or absorption effects are modeled mathematicaly . The equations are solving numerically using the Spectral Adomian decomposition method . The effects of the various parameters on the velocity and temperature profiles as well as the skin-friction coeffcient and rate of heat transfer are presented graphically and in tabulated form.Item Successive Linearization Solution of non-Newtoian nano uid ow over stretching Sheet(2017) Ayat Ismail Hamid AldawItem Application of the successive linearization method to micropolar flow in a porous channel(2016) Mohammed Ahmed Ali Mohammed Ahmed MohammedAbstract In this study the successive linearization method is applied to the problem of mi- cropolar flow in a porous channel. The governing partial differential equations are transformed into a system of ordinary differential equations and then solved via SLM. The effects of various parameters are discussed and analysed.