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Currrent Issue: Volume 5, Number 1, 2017


Matehmatical Study of Thermosolutal Convection in Heterogeneous Vscoelastic Fluid in the Presence of Porous Medium

1Department Applied Sciences (Mathematics), Chandigarh Engineering College Landarn, Mohali, Punjab, India

American Journal of Mathematical Analysis. 2017, 5(1), 12-16
doi: 10.12691/ajma-5-1-3
Copyright © 2017 Science and Education Publishing

Cite this paper:
Anil Kumar. Matehmatical Study of Thermosolutal Convection in Heterogeneous Vscoelastic Fluid in the Presence of Porous Medium. American Journal of Mathematical Analysis. 2017; 5(1):12-16. doi: 10.12691/ajma-5-1-3.

Correspondence to: Anil  Kumar, Department Applied Sciences (Mathematics), Chandigarh Engineering College Landarn, Mohali, Punjab, India. Email:


The present paper a thermo-solutal convection in Walters B' heterogeneous visco-elastic fluid through Brinkman permeable effect is investigated. The investigation of thermosolutal convection is proposed by its complexities of double diffusive dissemination and importance of geophysics and nuclear physics. The results are investigation of the oscillatory modes exists under different conditions and non-oscillatory modes are unstable.



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[16]  Sharma, R.C. and Kumar, P.. Rayleigh- Taylor Instability of Two Superposed Walters B’ Elastico-Viscous Fluids in Hydromagnetics. Proc. Nat. Acad. Sci. India. 68. pp.151-161. 1998.
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[19]  Pawan Preet Kaur, SP Agrawal and Anil Kumar (2014). Analysis of heat transfer in hydrodynamic rotating flow of viscous fluid through a non homogenious porous medium with constant heat source / sink, International J. of Engg. Research & Indu. Appls., Vol.7, No. I, pp 9-24.
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[22]  Anil Kumar and S P Agrawal (2013). Mathematical and Simulation of lid driven cavity flow at different aspect ratios using single relaxation time lattice Boltzmann technique, American Journal of theoretical and Applied Statistics, USA vol 2 (3), pp 87-93.
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On Weak Solutions of Systems of Strongly Nonlinear Parabolic Variational Inequalities

1Mathematics Department, Helwan University, Faculty of Science, Cairo, Egypt

American Journal of Mathematical Analysis. 2017, 5(1), 7-11
doi: 10.12691/ajma-5-1-2
Copyright © 2017 Science and Education Publishing

Cite this paper:
A.T. El-Dessouky. On Weak Solutions of Systems of Strongly Nonlinear Parabolic Variational Inequalities. American Journal of Mathematical Analysis. 2017; 5(1):7-11. doi: 10.12691/ajma-5-1-2.

Correspondence to: A.T.  El-Dessouky, Mathematics Department, Helwan University, Faculty of Science, Cairo, Egypt. Email:


In this paper we prove the existence of weak solutions for systems of variational inequalities of strongly nonlinear parabolic operators: where



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Analysis of Ground Water Quality by Fuzzy Comprehensive Evaluation in Cauvery Delta Region, Tamil Nadu, India

1Associate professor of Mathematics, A.D.M College for women (Autonomous), Nagapattinam, India

2Research scholar, Department of Mathematics, A.D.M College for women (Autonomous), Nagapattinam, India

American Journal of Mathematical Analysis. 2017, 5(1), 1-6
doi: 10.12691/ajma-5-1-1
Copyright © 2017 Science and Education Publishing

Cite this paper:
R. Sophia Porchelvi, P. Selvavathi. Analysis of Ground Water Quality by Fuzzy Comprehensive Evaluation in Cauvery Delta Region, Tamil Nadu, India. American Journal of Mathematical Analysis. 2017; 5(1):1-6. doi: 10.12691/ajma-5-1-1.

Correspondence to: R.  Sophia Porchelvi, Associate professor of Mathematics, A.D.M College for women (Autonomous), Nagapattinam, India. Email:


The present study consisted of the estimation of some physicochemical parameters and quality of ground water from Cauvery delta region, Tamil Nadu (India).The water sample were collected from various parts of Cauvery delta region. Ten parameters (via TDS, turbidity, pH, Chloride, Calcium, Phosphate, Zinc, Copper, Iron and lead) were selected to assess the ground water quality degree by using fuzzy comprehensive evaluation method. The water samples were grouped into five categories according to Surface Water Quality Standards (as per IS: 2296). Some of the concentrations of PH, turbidity, phosphate were between the class A and class C with the exemption of the parameters (TDS, chloride, calcium, zinc, copper, iron, lead) which exceeds class C. From the analysis, these exceeding parameters were found to be the main pollutant in the sampling areas and hence the study further revealed that the water is not safe for drinking but suitable for aquatic life and also for irrigation purpose in some extend.



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