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• Open Access   Article

  Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter

  Rajdeep G. Kandarkar, V.A. Thakare

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.10 , Issue.6 , pp.1-8, Dec-2023

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  Abstract
  In the present study, we investigated the anisotropic Bianchi type-VI0 model in the presence of strange quark matter with the appearance and non-appearance of strings in f(R) gravitation. In this case, R is the Ricci scalar of spacetime. Consider the following conditions to achieve an exact solution to the field equation. i) hybrid scale factor, ii) shear scalar(?) with expansion scalar(?), and iii) power-law relationship between scalar field F(R) and average scale factor a(t). We researched the models` physical and geometrical features and studied their behavior using graphical representation.

  Key-Words / Index Term
  Bianchi type-VI0 model; strange quark matter; cosmic strings; f(R) gravity; Hybrid scale factor; Deceleration parameter, De-Sitter exapansion.

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  Citation
  Rajdeep G. Kandarkar, V.A. Thakare, "Bianchi type-VI0 model coupled to string cloud in f(R) theory of gravitation in the presence of strange quark matter," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.1-8, 2023

• Open Access   Article

  Effect of Data Length on Assessment of Uncertainty of Error in Rainfall Estimation Using Log Normal Distribution

  N. Vivekanandan

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.10 , Issue.6 , pp.9-17, Dec-2023

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  Abstract
  Estimation of rainfall for a given return period is considered as one of the important parameters in hydrological studies to estimate flood discharge, which is needed for the planning, design and management of civil engineering infrastructure projects. In this paper, a study on effect of data length on assessment of uncertainty of error in rainfall estimation by adopting 2-parameter Log Normal (LN2) distribution for Pune and Vadgaon Maval rain-gauge sites of Maharashtra was carried out. The parameters of LN2 were determined by Method of Moments (MoM), Maximum Likelihood Method (MLM) and Method of L-Moments (LMO), and used for estimation of rainfall. The selection of best fit method of LN2 for rainfall estimation was made through Goodness-of-Fit (viz., Chi-Square and Kolmogorov-Smirnov) and diagnostic (viz., correlation coefficient, Nash-Sutcliffe model efficiency and root mean squared error) tests. The outcomes of rainfall analysis of Pune and Vadgaon Maval indicated that the estimated rainfall increases when data length increases. The study showed that the standard error in the estimated rainfall using three (viz., MoM, MLM and LMO) methods of LN2 are in decreasing order when data length increases. The study also showed that the standard errors in rainfall estimates computed by MoM for Pune and MLM for Vadgaon Maval are less than those values of other methods. The results indicated that the estimated rainfall by LMO for Pune and MoM for Vadgaon Maval is higher than those values other methods. Based on GoF and diagnostic tests results, it was found that the LMO is superior to MoM and MLM, and hence adjudged as best method for rainfall estimation at Pune and Vadgaon Maval.

  Key-Words / Index Term
  Chi-Square, Kolmogorov-Smirnov, Log Normal, L-Moments, Mean Squared Error, Model Efficiency, Rainfall

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  Citation
  N. Vivekanandan, "Effect of Data Length on Assessment of Uncertainty of Error in Rainfall Estimation Using Log Normal Distribution," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.9-17, 2023

• Open Access   Article

  Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving

  Etisha Sharma, Toyesh Prakash Sharma

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.10 , Issue.6 , pp.18-25, Dec-2023

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  Abstract
  As it is mentioned in the title that through this article, we will deal with various problems based on classic analysis result called Stolz–Cesàro result. Under the title we have approach two aspects of this result, the first aspects deal with the alternative proof of well-known theorem or result such as Cauchy limit of first kind, Cauchy limit of second kind, etc. while the second aspects deal with problem based on this result. Further at the end there is a section for readers to solve the problem and simplifying them.

  Key-Words / Index Term
  Stolz–Cesàro result, Cauchy limit of first kind, Cauchy limit of second kind, etc.

  References
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  Citation
  Etisha Sharma, Toyesh Prakash Sharma, "Article on the Application of Stolz–Cesàro Theorem in alternative proof and problem solving," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.18-25, 2023

• Open Access   Article

  Analytical Solutions of Non-Newtonian Fluid Flow and Heat Transfer over an Oscillating Capillary Tub

  Fati Abba Habib, M. Abdulhameed, M.Y. Adamu, B.M. Abdulhameed

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.10 , Issue.6 , pp.26-30, Dec-2023

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  Abstract
  This paper examines the fluid flow that leads to an increase in the heat transfer coefficient of non-Newtonian oscillating motion in a capillary tube. A study was conducted to determine whether the heat transfer coefficient changes due to an oscillating motion of fluid flow in a round tube. Mathcad software was utilized to simulate the solution of velocity and temperature distributions using Bessel transform, while graphical results for different flow were presented. The oscillating flow`s heat transfer coefficient is influenced by the fluid properties and oscillation waveform. The heat transfer can be increased by the retardation waveform of oscillating motion.

  Key-Words / Index Term
  Analytical solution, Non-newtonian, Sinusoidal, Oscillating Capillary, pressure waveforms.

  References
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  Citation
  Fati Abba Habib, M. Abdulhameed, M.Y. Adamu, B.M. Abdulhameed, "Analytical Solutions of Non-Newtonian Fluid Flow and Heat Transfer over an Oscillating Capillary Tub," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.26-30, 2023

• Open Access   Article

  Estimation of Finite Population Mean Calibrated for Unit Nonresponse using Two-Ancillary Variables

  Shilpa Yadav, Pankaj Nagar, Kartik Arya

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.10 , Issue.6 , pp.31-38, Dec-2023

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  Abstract
  Nonresponse is a pervasive issue in survey research, and it occurs when individuals selected to participate in a survey fail to respond or refuse to participate. The phenomenon of nonresponse can introduce biases in survey estimates and impact the validity and generalizability of survey findings. Over the years, researchers and statisticians have extensively studied nonresponse and developed various techniques to address its implications, amongst which calibration estimators provide a robust and statistically sound approach for adjusting nonresponse in surveys. In the present work, the authors have tried to develop calibration estimators using information on two ancillary variables for adjusting unit nonresponse and obtain estimates of the finite population mean for simple random sampling technique along with its respective variance. The proposed estimator is evaluated using simulation study, taking into consideration, different nonresponse mechanisms and varying calibration weights that proves that the proposed estimator is better than the traditional Hansen Hurwitz and imputation estimators as well.

  Key-Words / Index Term
  Calibration, nonresponse, chi-square distance function, ancillary variable, simulation

  References
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  Citation
  Shilpa Yadav, Pankaj Nagar, Kartik Arya, "Estimation of Finite Population Mean Calibrated for Unit Nonresponse using Two-Ancillary Variables," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.31-38, 2023

• Open Access   Article

  Magnetohydrodynamic (MHD) nanofluid flow over a non- linear stretchable surface in the presence of Heat generation/ absorption

  Abubakar Assidiq Hussaini

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.10 , Issue.6 , pp.39-47, Dec-2023

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  Abstract
  The emphasis of this research is on the effects of heat generation/absorption on MHD nanofluid flow over a stretchable surface. The influence of Prandtl number, solar radiation, as well as other physical parameters are all taken into account in relation to the heat generation/absorption. The boundary layer approximation alongside similarity transformation are used to turn the governing system of partial differential equations into an ordinary differential system, which is then solved numerically using the Runge- Kutta- Fehlberg method and the Shooting approach. The focus of this study is on the effects of heat generation/absorption on MHD nanofluid flow with a two-dimensional stagnation point along a stretchy surface. Magnetic fields, sun radiation, and other physical characteristics all have an impact. Graphs are used to study and assess the consequences of various physical characteristics. Temperature, nanoparticle concentration and Nusselt number are all rapidly decreasing functions, according to the information. When the heat generation/absorption parameter is continued to increase, the momentum fluctuates.

  Key-Words / Index Term
  Boundary layer approximation, Solar Radiation, Nanofluid, Heat Generation, heat Absorption, Stretching Surface, MHD.

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  Citation
  Abubakar Assidiq Hussaini, "Magnetohydrodynamic (MHD) nanofluid flow over a non- linear stretchable surface in the presence of Heat generation/ absorption," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.10, Issue.6, pp.39-47, 2023