scholarly journals A steady-state saturation model to determine the subsurface travel time (STT) in complex hillslopes

2010 ◽  
Vol 14 (6) ◽  
pp. 891-900 ◽  
Author(s):  
T. Sabzevari ◽  
A. Talebi ◽  
R. Ardakanian ◽  
A. Shamsai
Keyword(s):  
Steady State ◽  
Travel Time ◽  
Soil Depth ◽  
Subsurface Flow ◽  
Average Flow Rate ◽  
Recharge Rate ◽  
Zone Length ◽  
Average Flow ◽  
Saturation Zone ◽  
Saturation Capacity

Abstract. The travel time of subsurface flow in complex hillslopes (hillslopes with different plan shape and profile curvature) is an important parameter in predicting the subsurface flow in catchments. This time depends on the hillslopes geometry (plan shape and profile curvature), soil properties and climate conditions. The saturation capacity of hillslopes affect the travel time of subsurface flow. The saturation capacity, and subsurface travel time of compound hillslopes depend on parameters such as soil depth, porosity, soil hydraulic conductivity, plan shape (convergent, parallel or divergent), hillslope length, profile curvature (concave, straight or convex) and recharge rate to the groundwater table. An equation for calculating subsurface travel time for all complex hillslopes was presented. This equation is a function of the saturation zone length (SZL) on the surface. Saturation zone length of the complex hillslopes was calculated numerically by using the hillslope-storage kinematic wave equation for subsurface flow, so an analytical equation was presented for calculating the saturation zone length of the straight hillslopes and all plan shapes geometries. Based on our results, the convergent hillslopes become saturated very soon and they showed longer SZL with shorter travel time compared to the parallel and divergent ones. The subsurface average flow rate in convergent hillslopes is much less than the divergent ones in the steady state conditions. Concerning to subsurface travel time, convex hillslopes have more travel time in comparison to straight and concave hillslopes. The convex hillslopes exhibit more average flow rate than concave hillslopes and their saturation capacity is very low. Finally, the effects of recharge rate variations, average bedrock slope and soil depth on saturation zone extension were investigated.

scholarly journals A steady-state saturation model to determine the subsurface travel time (STT) in complex hillslopes

2009 ◽  
Vol 6 (6) ◽  
pp. 7179-7212 ◽  
Author(s):  
T. Sabzevari ◽  
A. Talebi ◽  
R. Ardakanian ◽  
A. Shamsai
Keyword(s):  
Steady State ◽  
Travel Time ◽  
Soil Depth ◽  
Subsurface Flow ◽  
Average Flow Rate ◽  
Recharge Rate ◽  
Zone Length ◽  
Average Flow ◽  
Saturation Zone ◽  
Saturation Capacity

Abstract. The travel time of subsurface flow in complex hillslopes (hillslopes with different plan shape and profile curvature) is an important parameter in predicting the subsurface flow in catchments. This time depends on the hillslopes geometry (plan shape and profile curvature), soil properties and climate conditions. The saturation capacity of hillslopes affect the travel time of subsurface flow. The saturation capacity, and subsurface travel time of compound hillslopes depend on parameters such as soil depth, porosity, soil hydraulic conductivity, plan shape (convergent, parallel or divergent), hillslope length, profile curvature (concave, straight or convex) and recharge rate to the groundwater table. An equation for calculating subsurface travel time for all complex hillslopes was presented. This equation is a function of the saturation zone length (SZL) on the surface. Saturation zone length of the complex hillslopes was calculated numerically by using the hillslope-storage Boussinesq (hsB) model in the steady state conditions, so an analytical equation was presented for calculating the saturation zone length of the straight hillslopes and all plan shapes geometries. Based on our results, the convergent hillslopes become saturated very soon and they showed longer SZL with shorter travel time compared to the parallel and divergent ones. The subsurface average flow rate in convergent hillslopes is much less than the divergent ones in the steady state conditions. Concerning to subsurface travel time, convex hillslopes have more travel time in comparison to straight and concave hillslopes. The convex hillslopes exhibit more average flow rate than concave hillslopes and their saturation capacity is very low. Finally, the effects of recharge rate variations, average bedrock slope and soil depth on saturation zone extension were investigated.

scholarly journals Current, steady-state and historical weathering rates of base cations at two forest sites in northern and southern Sweden: a comparison of three methods

2020 ◽  
Vol 17 (2) ◽  
pp. 281-304 ◽  
Author(s):  
Sophie Casetou-Gustafson ◽  
Harald Grip ◽  
Stephen Hillier ◽  
Sune Linder ◽  
Bengt A. Olsson ◽  
...  
Keyword(s):  
Steady State ◽  
Soil Depth ◽  
Base Cations ◽  
Base Cation ◽  
Mineral Weathering ◽  
Soil Horizon ◽  
Soil Horizons ◽  
Weathering Rate ◽  
Weathering Rates ◽  
Forest Sites

Abstract. Reliable and accurate methods for estimating soil mineral weathering rates are required tools in evaluating the sustainability of increased harvesting of forest biomass and assessments of critical loads of acidity. A variety of methods that differ in concept, temporal and spatial scale, and data requirements are available for measuring weathering rates. In this study, causes of discrepancies in weathering rates between methods were analysed and were classified as being either conceptual (inevitable) or random. The release rates of base cations (BCs; Ca, Mg, K, Na) by weathering were estimated in podzolised glacial tills at two experimental forest sites, Asa and Flakaliden, in southern and northern Sweden, respectively. Three different methods were used: (i) historical weathering since deglaciation estimated by the depletion method, using Zr as the assumed inert reference; (ii) steady-state weathering rate estimated with the PROFILE model, based on quantitative analysis of soil mineralogy; and (iii) BC budget at stand scale, using measured deposition, leaching and changes in base cation stocks in biomass and soil over a period of 12 years. In the 0–50 cm soil horizon historical weathering of BCs was 10.6 and 34.1 mmolc m−2 yr−1, at Asa and Flakaliden, respectively. Corresponding values of PROFILE weathering rates were 37.1 and 42.7 mmolc m−2 yr−1. The PROFILE results indicated that steady-state weathering rate increased with soil depth as a function of exposed mineral surface area, reaching a maximum rate at 80 cm (Asa) and 60 cm (Flakaliden). In contrast, the depletion method indicated that the largest postglacial losses were in upper soil horizons, particularly at Flakaliden. With the exception of Mg and Ca in shallow soil horizons, PROFILE produced higher weathering rates than the depletion method, particularly of K and Na in deeper soil horizons. The lower weathering rates of the depletion method were partly explained by natural and anthropogenic variability in Zr gradients. The base cation budget approach produced significantly higher weathering rates of BCs, 134.6 mmolc m−2 yr−1 at Asa and 73.2 mmolc m−2 yr−1 at Flakaliden, due to high rates estimated for the nutrient elements Ca, Mg and K, whereas weathering rates were lower and similar to those for the depletion method (6.6 and 2.2 mmolc m−2 yr−1 at Asa and Flakaliden). The large discrepancy in weathering rates for Ca, Mg and K between the base cation budget approach and the other methods suggests additional sources for tree uptake in the soil not captured by measurements.

Grinding Process Size Effect and Kinematics Numerical Analysis

1999 ◽  
Vol 122 (1) ◽  
pp. 59-69 ◽  
Author(s):  
William L. Cooper ◽  
Adrienne S. Lavine
Keyword(s):  
Steady State ◽  
Removal Rate ◽  
Empirical Relationship ◽  
Three Dimensional ◽  
Depth Of Cut ◽  
Grinding Process ◽  
Zone Length ◽  
Abrasive Grains ◽  
Three Dimensional Modeling ◽  
Stock Removal

The present work developed numerical codes that simulate steady-state grinding process kinematics. The three-dimensional modeling procedure entails the following: specifying the sizes, shapes, and positions of individual abrasive grains on the wheel surface; geometrically calculating the abrasive grains’ depth of cut distributions along the grinding zone as they pass through the grinding zone (neglecting wheel, abrasive grain, and workpiece deflections); using an empirical relationship to relate the abrasive grains’ geometric depths of cut to the grains’ actual depths of cut; and updating the workpiece surface to account for material removal. The resulting data include the abrasive grains’ average depth of cut distribution along the grinding zone, stock removal depth, stock removal rate, grinding zone shape, grinding zone length, percentage of grains impacting the workpiece, grain-workpiece impact frequency, etc. The calculated grinding zone lengths compare favorably with experimental data. This article examines a number of steady-state grinding processes. [S1087-1357(00)00101-5]

A Design Method for Thermosyphon Solar Domestic Hot Water Systems

1987 ◽  
Vol 109 (2) ◽  
pp. 150-155 ◽  
Author(s):  
M. P. Malkin ◽  
S. A. Klein ◽  
J. A. Duffie ◽  
A. B. Copsey
Keyword(s):  
Flow Rate ◽  
Design Method ◽  
Water Systems ◽  
Hot Water ◽  
Average Flow Rate ◽  
Domestic Hot Water ◽  
Average Flow ◽  
Solar Fraction ◽  
Wide Range ◽  
Flow Circuit

A modification to the f-Chart method has been developed to predict monthly and annual performance of thermosyphon solar domestic hot water systems. Stratification in the storage tank is accounted for through use of a modified collector loss coefficient. The varying flow rate throughout the day and year in a thermosyphon system is accounted for through use of a fixed monthly “equivalent average” flow rate. The “equivalent average” flow rate is that which balances the thermosyphon buoyancy driving force with the frictional losses in the flow circuit on a monthly average basis. Comparison between the annual solar fraction predited by the modified design method and TRNSYS simulations for a wide range of thermosyphon systems shows an RMS error of 2.6 percent.

Modification of lymph during passage through the lymph node: effect of histamine

1983 ◽  
Vol 245 (4) ◽  
pp. H553-H559
Author(s):  
M. B. Maron
Keyword(s):  
Lymph Node ◽  
Flow Rate ◽  
Evans Blue ◽  
Protein Concentration ◽  
Lymph Flow ◽  
Blue Dye ◽  
Base Line ◽  
Average Flow Rate ◽  
Significant Modification ◽  
Average Flow

The possibility that histamine may cause the fluid and protein content of lymph to be altered during passage through the lymph node was evaluated using the canine perfused popliteal lymph node preparation. This preparation enables nodal perfusion via an afferent lymphatic (all other afferents are ligated) with artificial lymph of known composition and collection of the total efferent effluent for analysis of potential changes in volume and composition. In 11 dogs, the node was perfused at an average flow rate of 0.229 ml/min with artificial lymph containing 3.71 g/100 ml albumin. Under base-line conditions, there was no significant modification of the lymph as it passed through the node. The addition of histamine to the infusate (2-4 micrograms base/ml) caused the efferent lymph flow to increase to 0.295 ml/min (35.3% increases, P less than 0.05), the efferent protein concentration to increase to 4.32 g/100 ml (15.2% increases, P less than 0.05), and the efferent protein flux to increase from 8.40 to 12.86 mg/min (58.0% increases, P less than 0.05). The appearance of Evans blue dye-tagged protein and plasma protein fractions, not originally present in the lymph, in the efferent lymph at this time further indicated that the source of the added fluid and protein was the nodal vasculature. Mass balance calculations indicated that the addition of a fluid with a protein concentration of approximately 90% that of plasma to the lymph could account for the observed increases in efferent lymph flow and protein concentration.(ABSTRACT TRUNCATED AT 250 WORDS)

A preliminary investigation of the freshwater red algae in streams of southern Ontario, Canada

1980 ◽  
Vol 58 (11) ◽  
pp. 1295-1318 ◽  
Author(s):  
Robert G. Sheath ◽  
Beverly J. Hymes
Keyword(s):  
Flow Rate ◽  
Red Algae ◽  
Preliminary Investigation ◽  
Average Flow Rate ◽  
Southern Ontario ◽  
Average Flow ◽  
Cell Organization ◽  
Conductivity Range ◽  
Freshwater Red Algae ◽  
The Relationship

Ten taxa of freshwater red algae have been observed in a survey of 62 streams and rivers within southern Ontario, Canada, over a period of 3 years. Five species are additions to the flora of Canada, Chroodactylon ramosum, Boldia erythrosiphon, Sirodotia tenuissima, Batrachospermum densum, and B. ectocarpum. In addition to these algae, Audouinella violacea, Sirodotia suecia, and Tuomeya fluviatilis are new observations within Ontario.Most of the Ontario red algae are restricted to streams or rivers with a minimum average flow rate of 10 m min−1. Audouinella violacea, B. moniliforme, and Lemanea fucina occur in a large number of streams which have a wide pH and conductivity range whereas S. tenuissima and B. ectocarpum are confined to one of the sites examined.Ultrastructural findings are reported concerning the cell organization of Boldia as well as the relationship between Batrachospermum plants and the "chantransia" stage. A key to the 10 taxa is included plus descriptions and a list of epiphytes of each alga are presented.

scholarly journals Pesticide fate on catchment scale: conceptual modelling of stream CSIA data

2017 ◽  
Vol 21 (10) ◽  
pp. 5243-5261 ◽  
Author(s):  
Stefanie R. Lutz ◽  
Ype van der Velde ◽  
Omniea F. Elsayed ◽  
Gwenaël Imfeld ◽  
Marie Lefrancq ◽  
...  
Keyword(s):  
Travel Time ◽  
Soil Depth ◽  
Isotope Analysis ◽  
Enrichment Factors ◽  
Conceptual Modelling ◽  
Catchment Scale ◽  
Δ13c Values ◽  
Contaminant Degradation ◽  
Herbicide Degradation ◽  
Closed Systems

Abstract. Compound-specific stable isotope analysis (CSIA) has proven beneficial in the characterization of contaminant degradation in groundwater, but it has never been used to assess pesticide transformation on catchment scale. This study presents concentration and carbon CSIA data of the herbicides S-metolachlor and acetochlor from three locations (plot, drain, and catchment outlets) in a 47 ha agricultural catchment (Bas-Rhin, France). Herbicide concentrations at the catchment outlet were highest (62 µg L−1) in response to an intense rainfall event following herbicide application. Increasing δ13C values of S-metolachlor and acetochlor by more than 2 ‰ during the study period indicated herbicide degradation. To assist the interpretation of these data, discharge, concentrations, and δ13C values of S-metolachlor were modelled with a conceptual mathematical model using the transport formulation by travel-time distributions. Testing of different model setups supported the assumption that degradation half-lives (DT50) increase with increasing soil depth, which can be straightforwardly implemented in conceptual models using travel-time distributions. Moreover, model calibration yielded an estimate of a field-integrated isotopic enrichment factor as opposed to laboratory-based assessments of enrichment factors in closed systems. Thirdly, the Rayleigh equation commonly applied in groundwater studies was tested by our model for its potential to quantify degradation on catchment scale. It provided conservative estimates on the extent of degradation as occurred in stream samples. However, largely exceeding the simulated degradation within the entire catchment, these estimates were not representative of overall degradation on catchment scale. The conceptual modelling approach thus enabled us to upscale sample-based CSIA information on degradation to the catchment scale. Overall, this study demonstrates the benefit of combining monitoring and conceptual modelling of concentration and CSIA data and advocates the use of travel-time distributions for assessing pesticide fate and transport on catchment scale.

Dynamic Response of a Centrifugal Blower to Periodic Flow Fluctuations

1986 ◽  
Vol 108 (1) ◽  
pp. 77-82 ◽  
Author(s):  
A. N. Abdel-Hamid
Keyword(s):  
Flow Rate ◽  
Static Pressure ◽  
Pressure Rise ◽  
Rotation Frequency ◽  
Periodic Flow ◽  
Average Flow Rate ◽  
Centrifugal Blower ◽  
Inertia Effects ◽  
Average Flow ◽  
Discharge Flow Rate

Experimental investigation of the dynamic response of a centrifugal blower to periodic flow rate modulations was carried out at different blower operating conditions. For modulation frequencies in the range of 0.0085–0.085 of the shaft rotation frequency, the fluctuating pressures at inlet, discharge, and across a flow orifice were simultaneously measured and analyzed in the time and frequency domains. Measurements of the amplitude and phase of the transfer function between the blower static pressure rise and the discharge flow rate fluctuations indicated that the quasi-steady approximation should be limited to frequencies lower than 0.02 of the shaft rotation frequency. For the same average flow rate, the static pressure rise progressively lagged the discharge flow rate fluctuations as the frequency was increased. The trend was similar to that of the inertia effects of a fluctuating flow in a pipe. For the same frequency these inertia effects increased as the average flow rate through the blower was decreased. Applications of the results to on-line measurements of the slope of the characteristic curve and improved dynamic modeling of centrifugal compressors and blowers are discussed.

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