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Bifurcation phenomena and control for magnetohydrodynamic flows in a smooth expanded channel

Chinese Physics B 2014年第11期23卷 374-383页

作者： G.C.Layek mani shankar Mandal H.A.Khalaf Department of Mathematics The University of Burdwan Department of Mathematics Krishnagar Govt. College KrishnagarNadia 741101India Thi-Qar University Marshes Research Center Thi-QarIraq

This work reports the effects of magnetic field on an electrically conducting fluid with low electrical conductivity flowing in a smooth expanded channel. The governing nonlinear magnetohydrodynamic （MHD） equations in induction- free situations are derived in the framework of MHD approximations and solved numerically using the finite-difference technique. The critical values of Reynolds number （based on upstream mean velocity and channel height） for symmetry breaking bifurcation for a sudden expansion channel （1：4） is about 36, whereas the value in the case of the smooth expansion geometry used in this work is obtained as 298, approximately （non-magnetic case）. The flow of an electrically conducting fluid in the presence of an externally applied constant magnetic field perpendicular to the plane of the flow is reduced significantly depending on the magnetic parameter （M）. It is expansion （1：4） is about 475 for the magnetic parameter M found that the critical value of Reynolds number for smooth = 2. The separating regions developed behind the smooth symmetric expansion are decreased in length for increasing values of the magnetic parameter. The bifurcation diagram is shown for a symmetric smoothly expanding channel. It is noted that the critical values of Reynolds number increase with increasing magnetic field strength.

关键词： weakly electrically conducting fluid flow bifurcation asymmetric flow smooth expansion

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Numerical simulation of physiologically relevant pulsatile flow of blood with shear-rate-dependent viscosity in a stenosed blood vessel

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International Journal of Biomathematics 2018年第6期11卷 129-150页

作者： Subrata Mukhopadhyay mani shankar Mandal Swati Mukhopadhyay Department of MathematicsAcharya P. C. Roy Govt. College Siliguri W.B. India Department of MathematicsG.G.D. C at Kalna-I Purba Bardhaman-713405 W.B. India Department of MathematicsThe University of Burdwan Burdwan-713104 W.B. India

Pulsatile flow of blood in a blood vessel having time-dependent shape （diameter） is inves-tigated numerically in order to understand some important physiological phenomena in arteries. A smooth axi-symmetric cosine shaped constriction is considered. To mimic the realistic situation as far as possible, viscosity of blood is taken to be non-uniform, a shear-thinning viscosity model is considered and a physiologically relevant pulsatile flow is introduced. Taking advantage of axi-symmetry in the proposed problem, the stream function-vorticity formulation is used to solve the governing equations for blood flow. Effect of different parameters associated with the problem on the flow pattern has been investigated and disparities from the Newtonian case are discussed in detail.

关键词： Pulsatile flow stenosis stream function-vorticity method finite differencete chnique non-Newtonian fluid fluid-structure interaction wall shear stress flow separation.

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SMS 2.0: An Updated Database to Study the Structural Plasticity of Short Peptide Fragments in Non-redundant Proteins

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Genomics, Proteomics & Bioinformatics 2012年第1期10卷 44-50页

作者： Dheeraj Ravella Muthukumarasamy Uthaya Kumar Durairaj Sherlin mani shankar Marthandan Kirti Vaishnavi Kanagaraj Sekar Bioinformatics Centre (Centre of Excellence in Structural Biology and Bio-computing) Supercomputer Education and Research Centre Indian Institute of Science Bangalore 560012 India

The function of a protein molecule is greatly influenced by its three-dimensional （3D） structure and therefore structure prediction will help identify its biological function. We have updated Sequence, Motif and Structure （SMS）, the database of structurally rigid peptide fragments, by combining amino acid sequences and the corre- sponding 3D atomic coordinates of non-redundant （25%） and redundant （90%） protein chains available in the Protein Data Bank （PDB）. SMS 2.0 provides information pertaining to the peptide fragments of length 5-14 resi- dues. The entire dataset is divided into three categories, namely, same sequence motifs having similar, intermedi- ate or dissimilar 3D structures. Further, options are provided to facilitate structural superposition using the pro- gram structural alignment of multiple proteins （STAMP） and the popular JAVA plug-in （Jmol） is deployed for visualization. In addition, functionalities are provided to search for the occurrences of the sequence motifs in other structural and sequence databases like PDB, Genome Database （GDB）, Protein Information Resource （PIR） and Swiss-Prot. The updated database along with the search engine is available over the World Wide Web through the following URL http：//***/sms/.

关键词： non-redundant protein chains sequence motifs 3D structure structural superposition

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Insight into the relationship between non-linear mixed convection and thermal radiation:The case of Newtonian fluid flow due to non-linear stretching

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Propulsion and Power Research 2023年第1期12卷 153-165页

作者： Amit Kumar Pandey Krishnendu Bhattacharyya Anil Kumar Gautam Sohita Rajput mani shankar Mandal Ali J.Chamkha Dhananjay Yadav Department of Mathematics Institute of ScienceBanaras Hindu UniversityVaranasi-221005Uttar PradeshIndia Department of Mathematics Government General Degree CollegeKalnaeIBurdwan-713405West BengalIndia Faculty of Engineering Kuwait College of Science and TechnologyDoha DistrictKuwait Department of Mathematical and Physical Sciences University of NizwaOman

The current research focuses the light on the characterization of buoyancy-driven non-linear mixed convection and non-linear radiation in a Newtonian flow over a nonlinearly stretching vertical sheet,and this type of flow has useful applications in many industrial processes,such as the paper and pulp industry,polymer industry,electronic device cooling,solar collectors,gas turbine plants,and nuclear *** appropriate transformations,governing PDEs for non-linear mixed convection are reduced to higher-order non-linear ODEs and those are numerically *** with tabular presentations of computed results,the graphical representations are generated to elucidate the effects of involved parameters on convection transport properties and their *** demonstrates that flow velocity increases near the surface and decreases away from the surface as the non-linear convection parameter ***,increments in the thermal buoyancy,temperature ratio and non-linear radiation parameters result in the boost of *** temperature decreases as linear and non-linear buoyancy-related parameters(non-linear convection and thermal buoyancy parameters)are of higher *** contrast,the temperature rises with two non-linear thermal radiation-related parameters(thermal ratio and non-linear radiation parameters).For greater values of the non-linear stretching related parameter,a lower velocity and a higher temperature are *** non-linear convection,thermal buoyancy,thermal ratio and non-linear radiation parameters contribute toward the reduction of the magnitude of surface-drag force and growth of the surface cooling ***,with the non-linearity in surface stretching there are significant percentage hikes of surface-drag force magnitude and surface cooling rate.

关键词： Non-linear mixed convection Non-linear thermal radiation Non-linear stretching sheet Newtonian fluid

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